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Finding the Fourth Proportional to 280,517.38, 420,985.06 and 205,830.52

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Solution

The fourth proportional to 280,517.38, 420,985.06 and 205,830.52 is: 308,899.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,517.38 : 420,985.06 = 205,830.52 : x
  2. Step 2: Convert to fraction form
    280,517.38/420,985.06 = 205,830.52/x
  3. Step 3: Cross multiply
    280,517.38x = 420,985.06 × 205,830.52
  4. Step 4: Simplify right side
    280,517.38x = 86,651,573,812.03
  5. Step 5: Solve for x
    x = 86,651,573,812.03/280,517.38
  6. Step 6: Final answer
    x = 308,899.13

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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.