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Finding the Fourth Proportional to 502,142.06, 752,935.83 and 261,655.55

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Solution

The fourth proportional to 502,142.06, 752,935.83 and 261,655.55 is: 392,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,142.06 : 752,935.83 = 261,655.55 : x
  2. Step 2: Convert to fraction form
    502,142.06/752,935.83 = 261,655.55/x
  3. Step 3: Cross multiply
    502,142.06x = 752,935.83 × 261,655.55
  4. Step 4: Simplify right side
    502,142.06x = 197,009,838,713.36
  5. Step 5: Solve for x
    x = 197,009,838,713.36/502,142.06
  6. Step 6: Final answer
    x = 392,338.85

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Why These Related Problems?

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