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Finding the Fourth Proportional to 312,644.71, 431,454.70 and 174,839.11

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Solution

The fourth proportional to 312,644.71, 431,454.70 and 174,839.11 is: 241,280.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,644.71 : 431,454.70 = 174,839.11 : x
  2. Step 2: Convert to fraction form
    312,644.71/431,454.70 = 174,839.11/x
  3. Step 3: Cross multiply
    312,644.71x = 431,454.70 × 174,839.11
  4. Step 4: Simplify right side
    312,644.71x = 75,435,154,893.23
  5. Step 5: Solve for x
    x = 75,435,154,893.23/312,644.71
  6. Step 6: Final answer
    x = 241,280.76

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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.