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Finding the Fourth Proportional to 402,432.80, 603,265.20 and 149,645.60

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Solution

The fourth proportional to 402,432.80, 603,265.20 and 149,645.60 is: 224,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,432.80 : 603,265.20 = 149,645.60 : x
  2. Step 2: Convert to fraction form
    402,432.80/603,265.20 = 149,645.60/x
  3. Step 3: Cross multiply
    402,432.80x = 603,265.20 × 149,645.60
  4. Step 4: Simplify right side
    402,432.80x = 90,275,982,813.12
  5. Step 5: Solve for x
    x = 90,275,982,813.12/402,432.80
  6. Step 6: Final answer
    x = 224,325.61

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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.