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Finding the Fourth Proportional to 367,220.66, 506,752.40 and 206,078.24

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Solution

The fourth proportional to 367,220.66, 506,752.40 and 206,078.24 is: 284,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,220.66 : 506,752.40 = 206,078.24 : x
  2. Step 2: Convert to fraction form
    367,220.66/506,752.40 = 206,078.24/x
  3. Step 3: Cross multiply
    367,220.66x = 506,752.40 × 206,078.24
  4. Step 4: Simplify right side
    367,220.66x = 104,430,644,489.85
  5. Step 5: Solve for x
    x = 104,430,644,489.85/367,220.66
  6. Step 6: Final answer
    x = 284,381.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.