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Finding the Fourth Proportional to 512,843.84, 769,338.56 and 157,887.36

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Solution

The fourth proportional to 512,843.84, 769,338.56 and 157,887.36 is: 236,853.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,843.84 : 769,338.56 = 157,887.36 : x
  2. Step 2: Convert to fraction form
    512,843.84/769,338.56 = 157,887.36/x
  3. Step 3: Cross multiply
    512,843.84x = 769,338.56 × 157,887.36
  4. Step 4: Simplify right side
    512,843.84x = 121,468,834,184.60
  5. Step 5: Solve for x
    x = 121,468,834,184.60/512,843.84
  6. Step 6: Final answer
    x = 236,853.45

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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.