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Finding the Fourth Proportional to 310,229.64, 465,346.44 and 169,911.72

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Solution

The fourth proportional to 310,229.64, 465,346.44 and 169,911.72 is: 254,868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,229.64 : 465,346.44 = 169,911.72 : x
  2. Step 2: Convert to fraction form
    310,229.64/465,346.44 = 169,911.72/x
  3. Step 3: Cross multiply
    310,229.64x = 465,346.44 × 169,911.72
  4. Step 4: Simplify right side
    310,229.64x = 79,067,814,016.28
  5. Step 5: Solve for x
    x = 79,067,814,016.28/310,229.64
  6. Step 6: Final answer
    x = 254,868.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.