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Finding the Fourth Proportional to 337,410.80, 506,116.20 and 321,858.80

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Solution

The fourth proportional to 337,410.80, 506,116.20 and 321,858.80 is: 482,788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,410.80 : 506,116.20 = 321,858.80 : x
  2. Step 2: Convert to fraction form
    337,410.80/506,116.20 = 321,858.80/x
  3. Step 3: Cross multiply
    337,410.80x = 506,116.20 × 321,858.80
  4. Step 4: Simplify right side
    337,410.80x = 162,897,952,792.56
  5. Step 5: Solve for x
    x = 162,897,952,792.56/337,410.80
  6. Step 6: Final answer
    x = 482,788.20

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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.