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Finding the Fourth Proportional to 462,098.31, 693,226.27 and 206,023.79

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Solution

The fourth proportional to 462,098.31, 693,226.27 and 206,023.79 is: 309,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,098.31 : 693,226.27 = 206,023.79 : x
  2. Step 2: Convert to fraction form
    462,098.31/693,226.27 = 206,023.79/x
  3. Step 3: Cross multiply
    462,098.31x = 693,226.27 × 206,023.79
  4. Step 4: Simplify right side
    462,098.31x = 142,821,103,472.96
  5. Step 5: Solve for x
    x = 142,821,103,472.96/462,098.31
  6. Step 6: Final answer
    x = 309,070.82

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Why These Related Problems?

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