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Finding the Fourth Proportional to 458,027.80, 632,082.16 and 254,092.08

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Solution

The fourth proportional to 458,027.80, 632,082.16 and 254,092.08 is: 350,649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,027.80 : 632,082.16 = 254,092.08 : x
  2. Step 2: Convert to fraction form
    458,027.80/632,082.16 = 254,092.08/x
  3. Step 3: Cross multiply
    458,027.80x = 632,082.16 × 254,092.08
  4. Step 4: Simplify right side
    458,027.80x = 160,607,070,765.29
  5. Step 5: Solve for x
    x = 160,607,070,765.29/458,027.80
  6. Step 6: Final answer
    x = 350,649.18

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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.