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Finding the Fourth Proportional to 363,691.32, 501,854.22 and 210,732.54

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Solution

The fourth proportional to 363,691.32, 501,854.22 and 210,732.54 is: 290,787.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,691.32 : 501,854.22 = 210,732.54 : x
  2. Step 2: Convert to fraction form
    363,691.32/501,854.22 = 210,732.54/x
  3. Step 3: Cross multiply
    363,691.32x = 501,854.22 × 210,732.54
  4. Step 4: Simplify right side
    363,691.32x = 105,757,014,490.32
  5. Step 5: Solve for x
    x = 105,757,014,490.32/363,691.32
  6. Step 6: Final answer
    x = 290,787.84

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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.