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Finding the Fourth Proportional to 322,568.52, 483,999.66 and 164,715.72

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Solution

The fourth proportional to 322,568.52, 483,999.66 and 164,715.72 is: 247,148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,568.52 : 483,999.66 = 164,715.72 : x
  2. Step 2: Convert to fraction form
    322,568.52/483,999.66 = 164,715.72/x
  3. Step 3: Cross multiply
    322,568.52x = 483,999.66 × 164,715.72
  4. Step 4: Simplify right side
    322,568.52x = 79,722,352,476.66
  5. Step 5: Solve for x
    x = 79,722,352,476.66/322,568.52
  6. Step 6: Final answer
    x = 247,148.58

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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.