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Finding the Fourth Proportional to 462,098.75, 693,226.94 and 206,024.24

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Solution

The fourth proportional to 462,098.75, 693,226.94 and 206,024.24 is: 309,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,098.75 : 693,226.94 = 206,024.24 : x
  2. Step 2: Convert to fraction form
    462,098.75/693,226.94 = 206,024.24/x
  3. Step 3: Cross multiply
    462,098.75x = 693,226.94 × 206,024.24
  4. Step 4: Simplify right side
    462,098.75x = 142,821,553,461.03
  5. Step 5: Solve for x
    x = 142,821,553,461.03/462,098.75
  6. Step 6: Final answer
    x = 309,071.50

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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.