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Finding the Fourth Proportional to 322,471.94, 483,766.08 and 132,828.78

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Solution

The fourth proportional to 322,471.94, 483,766.08 and 132,828.78 is: 199,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,471.94 : 483,766.08 = 132,828.78 : x
  2. Step 2: Convert to fraction form
    322,471.94/483,766.08 = 132,828.78/x
  3. Step 3: Cross multiply
    322,471.94x = 483,766.08 × 132,828.78
  4. Step 4: Simplify right side
    322,471.94x = 64,258,058,460.84
  5. Step 5: Solve for x
    x = 64,258,058,460.84/322,471.94
  6. Step 6: Final answer
    x = 199,267.13

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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.