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Finding the Fourth Proportional to 344,963.88, 517,511.60 and 120,388.46

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Solution

The fourth proportional to 344,963.88, 517,511.60 and 120,388.46 is: 180,605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,963.88 : 517,511.60 = 120,388.46 : x
  2. Step 2: Convert to fraction form
    344,963.88/517,511.60 = 120,388.46/x
  3. Step 3: Cross multiply
    344,963.88x = 517,511.60 × 120,388.46
  4. Step 4: Simplify right side
    344,963.88x = 62,302,424,556.14
  5. Step 5: Solve for x
    x = 62,302,424,556.14/344,963.88
  6. Step 6: Final answer
    x = 180,605.65

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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.