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Finding the Fourth Proportional to 502,294.32, 693,348.12 and 332,583.12

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Solution

The fourth proportional to 502,294.32, 693,348.12 and 332,583.12 is: 459,085.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,294.32 : 693,348.12 = 332,583.12 : x
  2. Step 2: Convert to fraction form
    502,294.32/693,348.12 = 332,583.12/x
  3. Step 3: Cross multiply
    502,294.32x = 693,348.12 × 332,583.12
  4. Step 4: Simplify right side
    502,294.32x = 230,595,880,995.73
  5. Step 5: Solve for x
    x = 230,595,880,995.73/502,294.32
  6. Step 6: Final answer
    x = 459,085.19

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.