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Finding the Fourth Proportional to 574,258.50, 861,782.22 and 200,281.50

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Solution

The fourth proportional to 574,258.50, 861,782.22 and 200,281.50 is: 300,559.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,258.50 : 861,782.22 = 200,281.50 : x
  2. Step 2: Convert to fraction form
    574,258.50/861,782.22 = 200,281.50/x
  3. Step 3: Cross multiply
    574,258.50x = 861,782.22 × 200,281.50
  4. Step 4: Simplify right side
    574,258.50x = 172,599,035,694.93
  5. Step 5: Solve for x
    x = 172,599,035,694.93/574,258.50
  6. Step 6: Final answer
    x = 300,559.83

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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.