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Finding the Fourth Proportional to 462,181.68, 693,680.88 and 225,732.96

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Solution

The fourth proportional to 462,181.68, 693,680.88 and 225,732.96 is: 338,798.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,181.68 : 693,680.88 = 225,732.96 : x
  2. Step 2: Convert to fraction form
    462,181.68/693,680.88 = 225,732.96/x
  3. Step 3: Cross multiply
    462,181.68x = 693,680.88 × 225,732.96
  4. Step 4: Simplify right side
    462,181.68x = 156,586,638,337.81
  5. Step 5: Solve for x
    x = 156,586,638,337.81/462,181.68
  6. Step 6: Final answer
    x = 338,798.89

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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.