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Finding the Fourth Proportional to 299,307.52, 413,046.80 and 163,342.56

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Solution

The fourth proportional to 299,307.52, 413,046.80 and 163,342.56 is: 225,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,307.52 : 413,046.80 = 163,342.56 : x
  2. Step 2: Convert to fraction form
    299,307.52/413,046.80 = 163,342.56/x
  3. Step 3: Cross multiply
    299,307.52x = 413,046.80 × 163,342.56
  4. Step 4: Simplify right side
    299,307.52x = 67,468,121,711.81
  5. Step 5: Solve for x
    x = 67,468,121,711.81/299,307.52
  6. Step 6: Final answer
    x = 225,414.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.