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Finding the Fourth Proportional to 219,010.80, 329,207.40 and 206,569.20

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Solution

The fourth proportional to 219,010.80, 329,207.40 and 206,569.20 is: 310,505.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,010.80 : 329,207.40 = 206,569.20 : x
  2. Step 2: Convert to fraction form
    219,010.80/329,207.40 = 206,569.20/x
  3. Step 3: Cross multiply
    219,010.80x = 329,207.40 × 206,569.20
  4. Step 4: Simplify right side
    219,010.80x = 68,004,109,252.08
  5. Step 5: Solve for x
    x = 68,004,109,252.08/219,010.80
  6. Step 6: Final answer
    x = 310,505.73

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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.