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Finding the Fourth Proportional to 417,790, 576,550.92 and 238,942

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Solution

The fourth proportional to 417,790, 576,550.92 and 238,942 is: 329,740.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,790 : 576,550.92 = 238,942 : x
  2. Step 2: Convert to fraction form
    417,790/576,550.92 = 238,942/x
  3. Step 3: Cross multiply
    417,790x = 576,550.92 × 238,942
  4. Step 4: Simplify right side
    417,790x = 137,762,229,926.64
  5. Step 5: Solve for x
    x = 137,762,229,926.64/417,790
  6. Step 6: Final answer
    x = 329,740.37

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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.