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Finding the Fourth Proportional to 299,294.40, 413,023.68 and 163,331.04

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Solution

The fourth proportional to 299,294.40, 413,023.68 and 163,331.04 is: 225,395.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,294.40 : 413,023.68 = 163,331.04 : x
  2. Step 2: Convert to fraction form
    299,294.40/413,023.68 = 163,331.04/x
  3. Step 3: Cross multiply
    299,294.40x = 413,023.68 × 163,331.04
  4. Step 4: Simplify right side
    299,294.40x = 67,459,587,199.03
  5. Step 5: Solve for x
    x = 67,459,587,199.03/299,294.40
  6. Step 6: Final answer
    x = 225,395.42

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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.