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Finding the Fourth Proportional to 574,258.75, 861,782.60 and 200,281.75

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Solution

The fourth proportional to 574,258.75, 861,782.60 and 200,281.75 is: 300,560.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,258.75 : 861,782.60 = 200,281.75 : x
  2. Step 2: Convert to fraction form
    574,258.75/861,782.60 = 200,281.75/x
  3. Step 3: Cross multiply
    574,258.75x = 861,782.60 × 200,281.75
  4. Step 4: Simplify right side
    574,258.75x = 172,599,327,247.55
  5. Step 5: Solve for x
    x = 172,599,327,247.55/574,258.75
  6. Step 6: Final answer
    x = 300,560.20

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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.