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Finding the Fourth Proportional to 465,451.56, 698,177.38 and 149,908.47

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Solution

The fourth proportional to 465,451.56, 698,177.38 and 149,908.47 is: 224,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,451.56 : 698,177.38 = 149,908.47 : x
  2. Step 2: Convert to fraction form
    465,451.56/698,177.38 = 149,908.47/x
  3. Step 3: Cross multiply
    465,451.56x = 698,177.38 × 149,908.47
  4. Step 4: Simplify right side
    465,451.56x = 104,662,700,112.55
  5. Step 5: Solve for x
    x = 104,662,700,112.55/465,451.56
  6. Step 6: Final answer
    x = 224,862.71

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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.