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Finding the Fourth Proportional to 415,428.39, 573,293.69 and 231,678.57

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Solution

The fourth proportional to 415,428.39, 573,293.69 and 231,678.57 is: 319,717.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,428.39 : 573,293.69 = 231,678.57 : x
  2. Step 2: Convert to fraction form
    415,428.39/573,293.69 = 231,678.57/x
  3. Step 3: Cross multiply
    415,428.39x = 573,293.69 × 231,678.57
  4. Step 4: Simplify right side
    415,428.39x = 132,819,861,130.83
  5. Step 5: Solve for x
    x = 132,819,861,130.83/415,428.39
  6. Step 6: Final answer
    x = 319,717.82

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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.