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Finding the Fourth Proportional to 458,565.12, 632,821.10 and 254,616.43

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Solution

The fourth proportional to 458,565.12, 632,821.10 and 254,616.43 is: 351,371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,565.12 : 632,821.10 = 254,616.43 : x
  2. Step 2: Convert to fraction form
    458,565.12/632,821.10 = 254,616.43/x
  3. Step 3: Cross multiply
    458,565.12x = 632,821.10 × 254,616.43
  4. Step 4: Simplify right side
    458,565.12x = 161,126,649,310.67
  5. Step 5: Solve for x
    x = 161,126,649,310.67/458,565.12
  6. Step 6: Final answer
    x = 351,371.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.