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Finding the Fourth Proportional to 504,042.30, 756,063.45 and 457,386.30

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Solution

The fourth proportional to 504,042.30, 756,063.45 and 457,386.30 is: 686,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,042.30 : 756,063.45 = 457,386.30 : x
  2. Step 2: Convert to fraction form
    504,042.30/756,063.45 = 457,386.30/x
  3. Step 3: Cross multiply
    504,042.30x = 756,063.45 × 457,386.30
  4. Step 4: Simplify right side
    504,042.30x = 345,813,063,960.74
  5. Step 5: Solve for x
    x = 345,813,063,960.74/504,042.30
  6. Step 6: Final answer
    x = 686,079.45

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.