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Finding the Fourth Proportional to 819,796.20, 1,229,894.34 and 314,348.10

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Solution

The fourth proportional to 819,796.20, 1,229,894.34 and 314,348.10 is: 471,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,796.20 : 1,229,894.34 = 314,348.10 : x
  2. Step 2: Convert to fraction form
    819,796.20/1,229,894.34 = 314,348.10/x
  3. Step 3: Cross multiply
    819,796.20x = 1,229,894.34 × 314,348.10
  4. Step 4: Simplify right side
    819,796.20x = 386,614,948,979.75
  5. Step 5: Solve for x
    x = 386,614,948,979.75/819,796.20
  6. Step 6: Final answer
    x = 471,598.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.