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Finding the Fourth Proportional to 723,169, 1,084,753.50 and 224,533

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Solution

The fourth proportional to 723,169, 1,084,753.50 and 224,533 is: 336,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,169 : 1,084,753.50 = 224,533 : x
  2. Step 2: Convert to fraction form
    723,169/1,084,753.50 = 224,533/x
  3. Step 3: Cross multiply
    723,169x = 1,084,753.50 × 224,533
  4. Step 4: Simplify right side
    723,169x = 243,562,957,615.50
  5. Step 5: Solve for x
    x = 243,562,957,615.50/723,169
  6. Step 6: Final answer
    x = 336,799.50

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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.