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Finding the Fourth Proportional to 402,711.60, 604,067.40 and 165,932.40

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Solution

The fourth proportional to 402,711.60, 604,067.40 and 165,932.40 is: 248,898.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,711.60 : 604,067.40 = 165,932.40 : x
  2. Step 2: Convert to fraction form
    402,711.60/604,067.40 = 165,932.40/x
  3. Step 3: Cross multiply
    402,711.60x = 604,067.40 × 165,932.40
  4. Step 4: Simplify right side
    402,711.60x = 100,234,353,443.76
  5. Step 5: Solve for x
    x = 100,234,353,443.76/402,711.60
  6. Step 6: Final answer
    x = 248,898.60

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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.