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Finding the Fourth Proportional to 462,472.56, 693,774.96 and 142,651.44

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Solution

The fourth proportional to 462,472.56, 693,774.96 and 142,651.44 is: 213,997.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,472.56 : 693,774.96 = 142,651.44 : x
  2. Step 2: Convert to fraction form
    462,472.56/693,774.96 = 142,651.44/x
  3. Step 3: Cross multiply
    462,472.56x = 693,774.96 × 142,651.44
  4. Step 4: Simplify right side
    462,472.56x = 98,967,997,079.94
  5. Step 5: Solve for x
    x = 98,967,997,079.94/462,472.56
  6. Step 6: Final answer
    x = 213,997.55

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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.