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Finding the Fourth Proportional to 512,791.11, 769,259.55 and 157,834.71

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Solution

The fourth proportional to 512,791.11, 769,259.55 and 157,834.71 is: 236,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,791.11 : 769,259.55 = 157,834.71 : x
  2. Step 2: Convert to fraction form
    512,791.11/769,259.55 = 157,834.71/x
  3. Step 3: Cross multiply
    512,791.11x = 769,259.55 × 157,834.71
  4. Step 4: Simplify right side
    512,791.11x = 121,415,857,988.98
  5. Step 5: Solve for x
    x = 121,415,857,988.98/512,791.11
  6. Step 6: Final answer
    x = 236,774.50

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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.