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Finding the Fourth Proportional to 462,947.56, 638,655.78 and 271,957.48

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Solution

The fourth proportional to 462,947.56, 638,655.78 and 271,957.48 is: 375,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,947.56 : 638,655.78 = 271,957.48 : x
  2. Step 2: Convert to fraction form
    462,947.56/638,655.78 = 271,957.48/x
  3. Step 3: Cross multiply
    462,947.56x = 638,655.78 × 271,957.48
  4. Step 4: Simplify right side
    462,947.56x = 173,687,216,516.23
  5. Step 5: Solve for x
    x = 173,687,216,516.23/462,947.56
  6. Step 6: Final answer
    x = 375,176.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.