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Finding the Fourth Proportional to 322,955.20, 484,214.10 and 165,053.80

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Solution

The fourth proportional to 322,955.20, 484,214.10 and 165,053.80 is: 247,468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,955.20 : 484,214.10 = 165,053.80 : x
  2. Step 2: Convert to fraction form
    322,955.20/484,214.10 = 165,053.80/x
  3. Step 3: Cross multiply
    322,955.20x = 484,214.10 × 165,053.80
  4. Step 4: Simplify right side
    322,955.20x = 79,921,377,218.58
  5. Step 5: Solve for x
    x = 79,921,377,218.58/322,955.20
  6. Step 6: Final answer
    x = 247,468.93

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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.