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Finding the Fourth Proportional to 650,432.88, 897,379.38 and 378,442.53

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Solution

The fourth proportional to 650,432.88, 897,379.38 and 378,442.53 is: 522,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,432.88 : 897,379.38 = 378,442.53 : x
  2. Step 2: Convert to fraction form
    650,432.88/897,379.38 = 378,442.53/x
  3. Step 3: Cross multiply
    650,432.88x = 897,379.38 × 378,442.53
  4. Step 4: Simplify right side
    650,432.88x = 339,606,522,937.03
  5. Step 5: Solve for x
    x = 339,606,522,937.03/650,432.88
  6. Step 6: Final answer
    x = 522,123.86

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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.