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Finding the Fourth Proportional to 324,817.56, 487,226.34 and 158,463

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Solution

The fourth proportional to 324,817.56, 487,226.34 and 158,463 is: 237,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,817.56 : 487,226.34 = 158,463 : x
  2. Step 2: Convert to fraction form
    324,817.56/487,226.34 = 158,463/x
  3. Step 3: Cross multiply
    324,817.56x = 487,226.34 × 158,463
  4. Step 4: Simplify right side
    324,817.56x = 77,207,347,515.42
  5. Step 5: Solve for x
    x = 77,207,347,515.42/324,817.56
  6. Step 6: Final answer
    x = 237,694.50

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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.