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Finding the Fourth Proportional to 502,403.94, 753,724.17 and 165,471.48

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Solution

The fourth proportional to 502,403.94, 753,724.17 and 165,471.48 is: 248,246.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,403.94 : 753,724.17 = 165,471.48 : x
  2. Step 2: Convert to fraction form
    502,403.94/753,724.17 = 165,471.48/x
  3. Step 3: Cross multiply
    502,403.94x = 753,724.17 × 165,471.48
  4. Step 4: Simplify right side
    502,403.94x = 124,719,853,921.67
  5. Step 5: Solve for x
    x = 124,719,853,921.67/502,403.94
  6. Step 6: Final answer
    x = 248,246.17

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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.