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Finding the Fourth Proportional to 415,819.94, 573,831.14 and 224,832.92

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Solution

The fourth proportional to 415,819.94, 573,831.14 and 224,832.92 is: 310,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,819.94 : 573,831.14 = 224,832.92 : x
  2. Step 2: Convert to fraction form
    415,819.94/573,831.14 = 224,832.92/x
  3. Step 3: Cross multiply
    415,819.94x = 573,831.14 × 224,832.92
  4. Step 4: Simplify right side
    415,819.94x = 129,016,130,793.13
  5. Step 5: Solve for x
    x = 129,016,130,793.13/415,819.94
  6. Step 6: Final answer
    x = 310,269.23

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