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Finding the Fourth Proportional to 402,581.20, 604,217.40 and 178,286.80

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Solution

The fourth proportional to 402,581.20, 604,217.40 and 178,286.80 is: 267,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,581.20 : 604,217.40 = 178,286.80 : x
  2. Step 2: Convert to fraction form
    402,581.20/604,217.40 = 178,286.80/x
  3. Step 3: Cross multiply
    402,581.20x = 604,217.40 × 178,286.80
  4. Step 4: Simplify right side
    402,581.20x = 107,723,986,750.32
  5. Step 5: Solve for x
    x = 107,723,986,750.32/402,581.20
  6. Step 6: Final answer
    x = 267,583.25

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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.