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Finding the Fourth Proportional to 502,177.78, 693,125.86 and 287,442.34

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Solution

The fourth proportional to 502,177.78, 693,125.86 and 287,442.34 is: 396,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,177.78 : 693,125.86 = 287,442.34 : x
  2. Step 2: Convert to fraction form
    502,177.78/693,125.86 = 287,442.34/x
  3. Step 3: Cross multiply
    502,177.78x = 693,125.86 × 287,442.34
  4. Step 4: Simplify right side
    502,177.78x = 199,233,719,112.91
  5. Step 5: Solve for x
    x = 199,233,719,112.91/502,177.78
  6. Step 6: Final answer
    x = 396,739.42

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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.