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Finding the Fourth Proportional to 415,915.71, 573,965.42 and 224,929.11

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Solution

The fourth proportional to 415,915.71, 573,965.42 and 224,929.11 is: 310,403.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,915.71 : 573,965.42 = 224,929.11 : x
  2. Step 2: Convert to fraction form
    415,915.71/573,965.42 = 224,929.11/x
  3. Step 3: Cross multiply
    415,915.71x = 573,965.42 × 224,929.11
  4. Step 4: Simplify right side
    415,915.71x = 129,101,529,966.73
  5. Step 5: Solve for x
    x = 129,101,529,966.73/415,915.71
  6. Step 6: Final answer
    x = 310,403.11

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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.