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Finding the Fourth Proportional to 472,091.79, 708,248.37 and 187,798.50

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Solution

The fourth proportional to 472,091.79, 708,248.37 and 187,798.50 is: 281,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,091.79 : 708,248.37 = 187,798.50 : x
  2. Step 2: Convert to fraction form
    472,091.79/708,248.37 = 187,798.50/x
  3. Step 3: Cross multiply
    472,091.79x = 708,248.37 × 187,798.50
  4. Step 4: Simplify right side
    472,091.79x = 133,007,982,217.69
  5. Step 5: Solve for x
    x = 133,007,982,217.69/472,091.79
  6. Step 6: Final answer
    x = 281,741.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.