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Finding the Fourth Proportional to 299,511.20, 413,335.13 and 163,552.25

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Solution

The fourth proportional to 299,511.20, 413,335.13 and 163,552.25 is: 225,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,511.20 : 413,335.13 = 163,552.25 : x
  2. Step 2: Convert to fraction form
    299,511.20/413,335.13 = 163,552.25/x
  3. Step 3: Cross multiply
    299,511.20x = 413,335.13 × 163,552.25
  4. Step 4: Simplify right side
    299,511.20x = 67,601,890,731.12
  5. Step 5: Solve for x
    x = 67,601,890,731.12/299,511.20
  6. Step 6: Final answer
    x = 225,707.39

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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.