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Finding the Fourth Proportional to 465,452.31, 698,178.50 and 149,909.22

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Solution

The fourth proportional to 465,452.31, 698,178.50 and 149,909.22 is: 224,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,452.31 : 698,178.50 = 149,909.22 : x
  2. Step 2: Convert to fraction form
    465,452.31/698,178.50 = 149,909.22/x
  3. Step 3: Cross multiply
    465,452.31x = 698,178.50 × 149,909.22
  4. Step 4: Simplify right side
    465,452.31x = 104,663,392,393.45
  5. Step 5: Solve for x
    x = 104,663,392,393.45/465,452.31
  6. Step 6: Final answer
    x = 224,863.84

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