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Finding the Fourth Proportional to 322,821.45, 484,013.48 and 164,920.05

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Solution

The fourth proportional to 322,821.45, 484,013.48 and 164,920.05 is: 247,268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,821.45 : 484,013.48 = 164,920.05 : x
  2. Step 2: Convert to fraction form
    322,821.45/484,013.48 = 164,920.05/x
  3. Step 3: Cross multiply
    322,821.45x = 484,013.48 × 164,920.05
  4. Step 4: Simplify right side
    322,821.45x = 79,823,526,497.67
  5. Step 5: Solve for x
    x = 79,823,526,497.67/322,821.45
  6. Step 6: Final answer
    x = 247,268.35

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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.