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Finding the Fourth Proportional to 477,149.62, 658,471.14 and 259,359.25

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Solution

The fourth proportional to 477,149.62, 658,471.14 and 259,359.25 is: 357,918.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,149.62 : 658,471.14 = 259,359.25 : x
  2. Step 2: Convert to fraction form
    477,149.62/658,471.14 = 259,359.25/x
  3. Step 3: Cross multiply
    477,149.62x = 658,471.14 × 259,359.25
  4. Step 4: Simplify right side
    477,149.62x = 170,780,581,017.05
  5. Step 5: Solve for x
    x = 170,780,581,017.05/477,149.62
  6. Step 6: Final answer
    x = 357,918.30

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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.