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Finding the Fourth Proportional to 498,040.11, 746,967.83 and 213,781.14

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Solution

The fourth proportional to 498,040.11, 746,967.83 and 213,781.14 is: 320,632.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,040.11 : 746,967.83 = 213,781.14 : x
  2. Step 2: Convert to fraction form
    498,040.11/746,967.83 = 213,781.14/x
  3. Step 3: Cross multiply
    498,040.11x = 746,967.83 × 213,781.14
  4. Step 4: Simplify right side
    498,040.11x = 159,687,633,171.82
  5. Step 5: Solve for x
    x = 159,687,633,171.82/498,040.11
  6. Step 6: Final answer
    x = 320,632.07

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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.