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Finding the Fourth Proportional to 521,044.60, 781,689.76 and 414,830.12

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Solution

The fourth proportional to 521,044.60, 781,689.76 and 414,830.12 is: 622,343.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,044.60 : 781,689.76 = 414,830.12 : x
  2. Step 2: Convert to fraction form
    521,044.60/781,689.76 = 414,830.12/x
  3. Step 3: Cross multiply
    521,044.60x = 781,689.76 × 414,830.12
  4. Step 4: Simplify right side
    521,044.60x = 324,268,456,943.57
  5. Step 5: Solve for x
    x = 324,268,456,943.57/521,044.60
  6. Step 6: Final answer
    x = 622,343.00

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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.