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Finding the Fourth Proportional to 574,138.17, 861,255.86 and 174,782.25

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Solution

The fourth proportional to 574,138.17, 861,255.86 and 174,782.25 is: 262,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,138.17 : 861,255.86 = 174,782.25 : x
  2. Step 2: Convert to fraction form
    574,138.17/861,255.86 = 174,782.25/x
  3. Step 3: Cross multiply
    574,138.17x = 861,255.86 × 174,782.25
  4. Step 4: Simplify right side
    574,138.17x = 150,532,236,162.57
  5. Step 5: Solve for x
    x = 150,532,236,162.57/574,138.17
  6. Step 6: Final answer
    x = 262,188.17

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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.