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Finding the Fourth Proportional to 465,452.50, 698,178.79 and 149,909.40

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Solution

The fourth proportional to 465,452.50, 698,178.79 and 149,909.40 is: 224,864.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,452.50 : 698,178.79 = 149,909.40 : x
  2. Step 2: Convert to fraction form
    465,452.50/698,178.79 = 149,909.40/x
  3. Step 3: Cross multiply
    465,452.50x = 698,178.79 × 149,909.40
  4. Step 4: Simplify right side
    465,452.50x = 104,663,563,126.85
  5. Step 5: Solve for x
    x = 104,663,563,126.85/465,452.50
  6. Step 6: Final answer
    x = 224,864.11

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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.