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Finding the Fourth Proportional to 328,067.96, 491,926.98 and 169,904.12

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Solution

The fourth proportional to 328,067.96, 491,926.98 and 169,904.12 is: 254,765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,067.96 : 491,926.98 = 169,904.12 : x
  2. Step 2: Convert to fraction form
    328,067.96/491,926.98 = 169,904.12/x
  3. Step 3: Cross multiply
    328,067.96x = 491,926.98 × 169,904.12
  4. Step 4: Simplify right side
    328,067.96x = 83,580,420,641.16
  5. Step 5: Solve for x
    x = 83,580,420,641.16/328,067.96
  6. Step 6: Final answer
    x = 254,765.57

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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.