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Finding the Fourth Proportional to 465,862.20, 698,793.30 and 150,329.40

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Solution

The fourth proportional to 465,862.20, 698,793.30 and 150,329.40 is: 225,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,862.20 : 698,793.30 = 150,329.40 : x
  2. Step 2: Convert to fraction form
    465,862.20/698,793.30 = 150,329.40/x
  3. Step 3: Cross multiply
    465,862.20x = 698,793.30 × 150,329.40
  4. Step 4: Simplify right side
    465,862.20x = 105,049,177,513.02
  5. Step 5: Solve for x
    x = 105,049,177,513.02/465,862.20
  6. Step 6: Final answer
    x = 225,494.10

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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.