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Finding the Fourth Proportional to 521,105.40, 781,658.10 and 463,044.60

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Solution

The fourth proportional to 521,105.40, 781,658.10 and 463,044.60 is: 694,566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,105.40 : 781,658.10 = 463,044.60 : x
  2. Step 2: Convert to fraction form
    521,105.40/781,658.10 = 463,044.60/x
  3. Step 3: Cross multiply
    521,105.40x = 781,658.10 × 463,044.60
  4. Step 4: Simplify right side
    521,105.40x = 361,942,562,251.26
  5. Step 5: Solve for x
    x = 361,942,562,251.26/521,105.40
  6. Step 6: Final answer
    x = 694,566.90

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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.