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Finding the Fourth Proportional to 471,906.30, 704,294.25 and 439,909.10

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Solution

The fourth proportional to 471,906.30, 704,294.25 and 439,909.10 is: 656,540.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,906.30 : 704,294.25 = 439,909.10 : x
  2. Step 2: Convert to fraction form
    471,906.30/704,294.25 = 439,909.10/x
  3. Step 3: Cross multiply
    471,906.30x = 704,294.25 × 439,909.10
  4. Step 4: Simplify right side
    471,906.30x = 309,825,446,131.20
  5. Step 5: Solve for x
    x = 309,825,446,131.20/471,906.30
  6. Step 6: Final answer
    x = 656,540.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.