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Finding the Fourth Proportional to 296,067.78, 443,985.84 and 96,339.60

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Solution

The fourth proportional to 296,067.78, 443,985.84 and 96,339.60 is: 144,471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,067.78 : 443,985.84 = 96,339.60 : x
  2. Step 2: Convert to fraction form
    296,067.78/443,985.84 = 96,339.60/x
  3. Step 3: Cross multiply
    296,067.78x = 443,985.84 × 96,339.60
  4. Step 4: Simplify right side
    296,067.78x = 42,773,418,231.26
  5. Step 5: Solve for x
    x = 42,773,418,231.26/296,067.78
  6. Step 6: Final answer
    x = 144,471.71

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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.