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Finding the Fourth Proportional to 285,311.24, 393,724.69 and 157,984.10

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Solution

The fourth proportional to 285,311.24, 393,724.69 and 157,984.10 is: 218,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,311.24 : 393,724.69 = 157,984.10 : x
  2. Step 2: Convert to fraction form
    285,311.24/393,724.69 = 157,984.10/x
  3. Step 3: Cross multiply
    285,311.24x = 393,724.69 × 157,984.10
  4. Step 4: Simplify right side
    285,311.24x = 62,202,238,433.85
  5. Step 5: Solve for x
    x = 62,202,238,433.85/285,311.24
  6. Step 6: Final answer
    x = 218,015.38

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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.