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Finding the Fourth Proportional to 482,091.12, 722,844.96 and 215,802

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Solution

The fourth proportional to 482,091.12, 722,844.96 and 215,802 is: 323,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,091.12 : 722,844.96 = 215,802 : x
  2. Step 2: Convert to fraction form
    482,091.12/722,844.96 = 215,802/x
  3. Step 3: Cross multiply
    482,091.12x = 722,844.96 × 215,802
  4. Step 4: Simplify right side
    482,091.12x = 155,991,388,057.92
  5. Step 5: Solve for x
    x = 155,991,388,057.92/482,091.12
  6. Step 6: Final answer
    x = 323,572.42

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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.