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Finding the Fourth Proportional to 299,500.52, 413,319.24 and 163,543.10

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Solution

The fourth proportional to 299,500.52, 413,319.24 and 163,543.10 is: 225,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,500.52 : 413,319.24 = 163,543.10 : x
  2. Step 2: Convert to fraction form
    299,500.52/413,319.24 = 163,543.10/x
  3. Step 3: Cross multiply
    299,500.52x = 413,319.24 × 163,543.10
  4. Step 4: Simplify right side
    299,500.52x = 67,595,509,799.24
  5. Step 5: Solve for x
    x = 67,595,509,799.24/299,500.52
  6. Step 6: Final answer
    x = 225,694.13

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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.