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Finding the Fourth Proportional to 512,834.19, 769,261.17 and 157,847.83

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Solution

The fourth proportional to 512,834.19, 769,261.17 and 157,847.83 is: 236,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,834.19 : 769,261.17 = 157,847.83 : x
  2. Step 2: Convert to fraction form
    512,834.19/769,261.17 = 157,847.83/x
  3. Step 3: Cross multiply
    512,834.19x = 769,261.17 × 157,847.83
  4. Step 4: Simplify right side
    512,834.19x = 121,426,206,387.76
  5. Step 5: Solve for x
    x = 121,426,206,387.76/512,834.19
  6. Step 6: Final answer
    x = 236,774.79

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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.