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Finding the Fourth Proportional to 299,316.55, 413,066.49 and 170,251.69

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Solution

The fourth proportional to 299,316.55, 413,066.49 and 170,251.69 is: 234,952.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,316.55 : 413,066.49 = 170,251.69 : x
  2. Step 2: Convert to fraction form
    299,316.55/413,066.49 = 170,251.69/x
  3. Step 3: Cross multiply
    299,316.55x = 413,066.49 × 170,251.69
  4. Step 4: Simplify right side
    299,316.55x = 70,325,267,108.26
  5. Step 5: Solve for x
    x = 70,325,267,108.26/299,316.55
  6. Step 6: Final answer
    x = 234,952.82

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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.