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Finding the Fourth Proportional to 218,780.40, 328,170.60 and 209,449.20

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Solution

The fourth proportional to 218,780.40, 328,170.60 and 209,449.20 is: 314,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,780.40 : 328,170.60 = 209,449.20 : x
  2. Step 2: Convert to fraction form
    218,780.40/328,170.60 = 209,449.20/x
  3. Step 3: Cross multiply
    218,780.40x = 328,170.60 × 209,449.20
  4. Step 4: Simplify right side
    218,780.40x = 68,735,069,633.52
  5. Step 5: Solve for x
    x = 68,735,069,633.52/218,780.40
  6. Step 6: Final answer
    x = 314,173.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.