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Finding the Fourth Proportional to 418,815.20, 628,222.80 and 259,382.90

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Solution

The fourth proportional to 418,815.20, 628,222.80 and 259,382.90 is: 389,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,815.20 : 628,222.80 = 259,382.90 : x
  2. Step 2: Convert to fraction form
    418,815.20/628,222.80 = 259,382.90/x
  3. Step 3: Cross multiply
    418,815.20x = 628,222.80 × 259,382.90
  4. Step 4: Simplify right side
    418,815.20x = 162,950,251,710.12
  5. Step 5: Solve for x
    x = 162,950,251,710.12/418,815.20
  6. Step 6: Final answer
    x = 389,074.35

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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.