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Finding the Fourth Proportional to 574,489.16, 862,127.34 and 200,512.16

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Solution

The fourth proportional to 574,489.16, 862,127.34 and 200,512.16 is: 300,905.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,489.16 : 862,127.34 = 200,512.16 : x
  2. Step 2: Convert to fraction form
    574,489.16/862,127.34 = 200,512.16/x
  3. Step 3: Cross multiply
    574,489.16x = 862,127.34 × 200,512.16
  4. Step 4: Simplify right side
    574,489.16x = 172,867,015,138.45
  5. Step 5: Solve for x
    x = 172,867,015,138.45/574,489.16
  6. Step 6: Final answer
    x = 300,905.62

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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.