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Finding the Fourth Proportional to 465,452.69, 698,179.07 and 149,909.59

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Solution

The fourth proportional to 465,452.69, 698,179.07 and 149,909.59 is: 224,864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,452.69 : 698,179.07 = 149,909.59 : x
  2. Step 2: Convert to fraction form
    465,452.69/698,179.07 = 149,909.59/x
  3. Step 3: Cross multiply
    465,452.69x = 698,179.07 × 149,909.59
  4. Step 4: Simplify right side
    465,452.69x = 104,663,738,815.62
  5. Step 5: Solve for x
    x = 104,663,738,815.62/465,452.69
  6. Step 6: Final answer
    x = 224,864.40

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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.