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Finding the Fourth Proportional to 576,257.60, 863,608.80 and 409,851.20

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Solution

The fourth proportional to 576,257.60, 863,608.80 and 409,851.20 is: 614,223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,257.60 : 863,608.80 = 409,851.20 : x
  2. Step 2: Convert to fraction form
    576,257.60/863,608.80 = 409,851.20/x
  3. Step 3: Cross multiply
    576,257.60x = 863,608.80 × 409,851.20
  4. Step 4: Simplify right side
    576,257.60x = 353,951,103,010.56
  5. Step 5: Solve for x
    x = 353,951,103,010.56/576,257.60
  6. Step 6: Final answer
    x = 614,223.75

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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.