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Finding the Fourth Proportional to 333,691.44, 500,532.93 and 80,974

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Solution

The fourth proportional to 333,691.44, 500,532.93 and 80,974 is: 121,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,691.44 : 500,532.93 = 80,974 : x
  2. Step 2: Convert to fraction form
    333,691.44/500,532.93 = 80,974/x
  3. Step 3: Cross multiply
    333,691.44x = 500,532.93 × 80,974
  4. Step 4: Simplify right side
    333,691.44x = 40,530,153,473.82
  5. Step 5: Solve for x
    x = 40,530,153,473.82/333,691.44
  6. Step 6: Final answer
    x = 121,459.97

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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.