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Finding the Fourth Proportional to 462,098.25, 693,226.19 and 206,023.74

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Solution

The fourth proportional to 462,098.25, 693,226.19 and 206,023.74 is: 309,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,098.25 : 693,226.19 = 206,023.74 : x
  2. Step 2: Convert to fraction form
    462,098.25/693,226.19 = 206,023.74/x
  3. Step 3: Cross multiply
    462,098.25x = 693,226.19 × 206,023.74
  4. Step 4: Simplify right side
    462,098.25x = 142,821,052,329.75
  5. Step 5: Solve for x
    x = 142,821,052,329.75/462,098.25
  6. Step 6: Final answer
    x = 309,070.75

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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.