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Finding the Fourth Proportional to 322,643.64, 484,063.92 and 164,982.84

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Solution

The fourth proportional to 322,643.64, 484,063.92 and 164,982.84 is: 247,524.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,643.64 : 484,063.92 = 164,982.84 : x
  2. Step 2: Convert to fraction form
    322,643.64/484,063.92 = 164,982.84/x
  3. Step 3: Cross multiply
    322,643.64x = 484,063.92 × 164,982.84
  4. Step 4: Simplify right side
    322,643.64x = 79,862,240,263.13
  5. Step 5: Solve for x
    x = 79,862,240,263.13/322,643.64
  6. Step 6: Final answer
    x = 247,524.61

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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.