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Finding the Fourth Proportional to 349,124.52, 523,916.42 and 191,463.69

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Solution

The fourth proportional to 349,124.52, 523,916.42 and 191,463.69 is: 287,321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,124.52 : 523,916.42 = 191,463.69 : x
  2. Step 2: Convert to fraction form
    349,124.52/523,916.42 = 191,463.69/x
  3. Step 3: Cross multiply
    349,124.52x = 523,916.42 × 191,463.69
  4. Step 4: Simplify right side
    349,124.52x = 100,310,970,067.47
  5. Step 5: Solve for x
    x = 100,310,970,067.47/349,124.52
  6. Step 6: Final answer
    x = 287,321.47

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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.