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Finding the Fourth Proportional to 299,458.73, 413,257.05 and 163,491.12

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Solution

The fourth proportional to 299,458.73, 413,257.05 and 163,491.12 is: 225,619.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,458.73 : 413,257.05 = 163,491.12 : x
  2. Step 2: Convert to fraction form
    299,458.73/413,257.05 = 163,491.12/x
  3. Step 3: Cross multiply
    299,458.73x = 413,257.05 × 163,491.12
  4. Step 4: Simplify right side
    299,458.73x = 67,563,857,952.40
  5. Step 5: Solve for x
    x = 67,563,857,952.40/299,458.73
  6. Step 6: Final answer
    x = 225,619.93

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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.