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Finding the Fourth Proportional to 402,294.20, 603,786.90 and 177,999.80

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Solution

The fourth proportional to 402,294.20, 603,786.90 and 177,999.80 is: 267,152.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,294.20 : 603,786.90 = 177,999.80 : x
  2. Step 2: Convert to fraction form
    402,294.20/603,786.90 = 177,999.80/x
  3. Step 3: Cross multiply
    402,294.20x = 603,786.90 × 177,999.80
  4. Step 4: Simplify right side
    402,294.20x = 107,473,947,442.62
  5. Step 5: Solve for x
    x = 107,473,947,442.62/402,294.20
  6. Step 6: Final answer
    x = 267,152.61

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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.