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Finding the Fourth Proportional to 287,914.67, 397,321.11 and 158,861.17

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Solution

The fourth proportional to 287,914.67, 397,321.11 and 158,861.17 is: 219,227.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,914.67 : 397,321.11 = 158,861.17 : x
  2. Step 2: Convert to fraction form
    287,914.67/397,321.11 = 158,861.17/x
  3. Step 3: Cross multiply
    287,914.67x = 397,321.11 × 158,861.17
  4. Step 4: Simplify right side
    287,914.67x = 63,118,896,400.30
  5. Step 5: Solve for x
    x = 63,118,896,400.30/287,914.67
  6. Step 6: Final answer
    x = 219,227.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.