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Finding the Fourth Proportional to 418,843.20, 628,264.80 and 259,410.90

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Solution

The fourth proportional to 418,843.20, 628,264.80 and 259,410.90 is: 389,116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,843.20 : 628,264.80 = 259,410.90 : x
  2. Step 2: Convert to fraction form
    418,843.20/628,264.80 = 259,410.90/x
  3. Step 3: Cross multiply
    418,843.20x = 628,264.80 × 259,410.90
  4. Step 4: Simplify right side
    418,843.20x = 162,978,737,206.32
  5. Step 5: Solve for x
    x = 162,978,737,206.32/418,843.20
  6. Step 6: Final answer
    x = 389,116.35

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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.