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Finding the Fourth Proportional to 299,301.80, 413,045.19 and 163,344.49

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Solution

The fourth proportional to 299,301.80, 413,045.19 and 163,344.49 is: 225,420.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,301.80 : 413,045.19 = 163,344.49 : x
  2. Step 2: Convert to fraction form
    299,301.80/413,045.19 = 163,344.49/x
  3. Step 3: Cross multiply
    299,301.80x = 413,045.19 × 163,344.49
  4. Step 4: Simplify right side
    299,301.80x = 67,468,655,907.50
  5. Step 5: Solve for x
    x = 67,468,655,907.50/299,301.80
  6. Step 6: Final answer
    x = 225,420.15

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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.