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Finding the Fourth Proportional to 322,229.17, 483,565.64 and 111,867.11

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Solution

The fourth proportional to 322,229.17, 483,565.64 and 111,867.11 is: 167,877.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,229.17 : 483,565.64 = 111,867.11 : x
  2. Step 2: Convert to fraction form
    322,229.17/483,565.64 = 111,867.11/x
  3. Step 3: Cross multiply
    322,229.17x = 483,565.64 × 111,867.11
  4. Step 4: Simplify right side
    322,229.17x = 54,095,087,664.94
  5. Step 5: Solve for x
    x = 54,095,087,664.94/322,229.17
  6. Step 6: Final answer
    x = 167,877.69

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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.