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Finding the Fourth Proportional to 522,080.70, 782,602.65 and 241,107.90

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Solution

The fourth proportional to 522,080.70, 782,602.65 and 241,107.90 is: 361,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,080.70 : 782,602.65 = 241,107.90 : x
  2. Step 2: Convert to fraction form
    522,080.70/782,602.65 = 241,107.90/x
  3. Step 3: Cross multiply
    522,080.70x = 782,602.65 × 241,107.90
  4. Step 4: Simplify right side
    522,080.70x = 188,691,681,475.94
  5. Step 5: Solve for x
    x = 188,691,681,475.94/522,080.70
  6. Step 6: Final answer
    x = 361,422.44

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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.