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Finding the Fourth Proportional to 465,591.68, 698,342.16 and 150,274.88

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Solution

The fourth proportional to 465,591.68, 698,342.16 and 150,274.88 is: 225,397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,591.68 : 698,342.16 = 150,274.88 : x
  2. Step 2: Convert to fraction form
    465,591.68/698,342.16 = 150,274.88/x
  3. Step 3: Cross multiply
    465,591.68x = 698,342.16 × 150,274.88
  4. Step 4: Simplify right side
    465,591.68x = 104,943,284,292.94
  5. Step 5: Solve for x
    x = 104,943,284,292.94/465,591.68
  6. Step 6: Final answer
    x = 225,397.68

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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.