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Finding the Fourth Proportional to 402,765.60, 604,367.10 and 166,132.20

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Solution

The fourth proportional to 402,765.60, 604,367.10 and 166,132.20 is: 249,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,765.60 : 604,367.10 = 166,132.20 : x
  2. Step 2: Convert to fraction form
    402,765.60/604,367.10 = 166,132.20/x
  3. Step 3: Cross multiply
    402,765.60x = 604,367.10 × 166,132.20
  4. Step 4: Simplify right side
    402,765.60x = 100,404,835,930.62
  5. Step 5: Solve for x
    x = 100,404,835,930.62/402,765.60
  6. Step 6: Final answer
    x = 249,288.51

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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.