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Finding the Fourth Proportional to 521,104.90, 781,657.35 and 463,044.10

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Solution

The fourth proportional to 521,104.90, 781,657.35 and 463,044.10 is: 694,566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,104.90 : 781,657.35 = 463,044.10 : x
  2. Step 2: Convert to fraction form
    521,104.90/781,657.35 = 463,044.10/x
  3. Step 3: Cross multiply
    521,104.90x = 781,657.35 × 463,044.10
  4. Step 4: Simplify right side
    521,104.90x = 361,941,824,139.14
  5. Step 5: Solve for x
    x = 361,941,824,139.14/521,104.90
  6. Step 6: Final answer
    x = 694,566.15

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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.