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Finding the Fourth Proportional to 322,952.49, 484,477.94 and 165,127.64

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Solution

The fourth proportional to 322,952.49, 484,477.94 and 165,127.64 is: 247,716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,952.49 : 484,477.94 = 165,127.64 : x
  2. Step 2: Convert to fraction form
    322,952.49/484,477.94 = 165,127.64/x
  3. Step 3: Cross multiply
    322,952.49x = 484,477.94 × 165,127.64
  4. Step 4: Simplify right side
    322,952.49x = 80,000,696,854.69
  5. Step 5: Solve for x
    x = 80,000,696,854.69/322,952.49
  6. Step 6: Final answer
    x = 247,716.61

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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.