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Finding the Fourth Proportional to 548,906.40, 825,327.90 and 462,301.20

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Solution

The fourth proportional to 548,906.40, 825,327.90 and 462,301.20 is: 695,109.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,906.40 : 825,327.90 = 462,301.20 : x
  2. Step 2: Convert to fraction form
    548,906.40/825,327.90 = 462,301.20/x
  3. Step 3: Cross multiply
    548,906.40x = 825,327.90 × 462,301.20
  4. Step 4: Simplify right side
    548,906.40x = 381,550,078,563.48
  5. Step 5: Solve for x
    x = 381,550,078,563.48/548,906.40
  6. Step 6: Final answer
    x = 695,109.55

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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.