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Finding the Fourth Proportional to 415,861.47, 573,888.85 and 224,874.86

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Solution

The fourth proportional to 415,861.47, 573,888.85 and 224,874.86 is: 310,327.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,861.47 : 573,888.85 = 224,874.86 : x
  2. Step 2: Convert to fraction form
    415,861.47/573,888.85 = 224,874.86/x
  3. Step 3: Cross multiply
    415,861.47x = 573,888.85 × 224,874.86
  4. Step 4: Simplify right side
    415,861.47x = 129,053,172,981.74
  5. Step 5: Solve for x
    x = 129,053,172,981.74/415,861.47
  6. Step 6: Final answer
    x = 310,327.32

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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.