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Finding the Fourth Proportional to 367,411.10, 506,992.31 and 206,229.20

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Solution

The fourth proportional to 367,411.10, 506,992.31 and 206,229.20 is: 284,576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,411.10 : 506,992.31 = 206,229.20 : x
  2. Step 2: Convert to fraction form
    367,411.10/506,992.31 = 206,229.20/x
  3. Step 3: Cross multiply
    367,411.10x = 506,992.31 × 206,229.20
  4. Step 4: Simplify right side
    367,411.10x = 104,556,614,931.34
  5. Step 5: Solve for x
    x = 104,556,614,931.34/367,411.10
  6. Step 6: Final answer
    x = 284,576.64

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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.