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Finding the Fourth Proportional to 415,731.80, 573,706.32 and 224,743.52

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Solution

The fourth proportional to 415,731.80, 573,706.32 and 224,743.52 is: 310,144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,731.80 : 573,706.32 = 224,743.52 : x
  2. Step 2: Convert to fraction form
    415,731.80/573,706.32 = 224,743.52/x
  3. Step 3: Cross multiply
    415,731.80x = 573,706.32 × 224,743.52
  4. Step 4: Simplify right side
    415,731.80x = 128,936,777,803.05
  5. Step 5: Solve for x
    x = 128,936,777,803.05/415,731.80
  6. Step 6: Final answer
    x = 310,144.13

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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.