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Finding the Fourth Proportional to 462,181.88, 693,039.54 and 225,169.40

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Solution

The fourth proportional to 462,181.88, 693,039.54 and 225,169.40 is: 337,640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,181.88 : 693,039.54 = 225,169.40 : x
  2. Step 2: Convert to fraction form
    462,181.88/693,039.54 = 225,169.40/x
  3. Step 3: Cross multiply
    462,181.88x = 693,039.54 × 225,169.40
  4. Step 4: Simplify right side
    462,181.88x = 156,051,297,398.08
  5. Step 5: Solve for x
    x = 156,051,297,398.08/462,181.88
  6. Step 6: Final answer
    x = 337,640.45

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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.