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Finding the Fourth Proportional to 415,714.57, 573,686.97 and 224,727.96

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Solution

The fourth proportional to 415,714.57, 573,686.97 and 224,727.96 is: 310,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,714.57 : 573,686.97 = 224,727.96 : x
  2. Step 2: Convert to fraction form
    415,714.57/573,686.97 = 224,727.96/x
  3. Step 3: Cross multiply
    415,714.57x = 573,686.97 × 224,727.96
  4. Step 4: Simplify right side
    415,714.57x = 128,923,502,446.68
  5. Step 5: Solve for x
    x = 128,923,502,446.68/415,714.57
  6. Step 6: Final answer
    x = 310,125.05

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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.