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Finding the Fourth Proportional to 274,691.93, 411,973.29 and 74,964.87

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Solution

The fourth proportional to 274,691.93, 411,973.29 and 74,964.87 is: 112,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,691.93 : 411,973.29 = 74,964.87 : x
  2. Step 2: Convert to fraction form
    274,691.93/411,973.29 = 74,964.87/x
  3. Step 3: Cross multiply
    274,691.93x = 411,973.29 × 74,964.87
  4. Step 4: Simplify right side
    274,691.93x = 30,883,524,128.32
  5. Step 5: Solve for x
    x = 30,883,524,128.32/274,691.93
  6. Step 6: Final answer
    x = 112,429.68

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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.