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Finding the Fourth Proportional to 322,314.48, 483,474.60 and 132,729.84

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Solution

The fourth proportional to 322,314.48, 483,474.60 and 132,729.84 is: 199,095.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,314.48 : 483,474.60 = 132,729.84 : x
  2. Step 2: Convert to fraction form
    322,314.48/483,474.60 = 132,729.84/x
  3. Step 3: Cross multiply
    322,314.48x = 483,474.60 × 132,729.84
  4. Step 4: Simplify right side
    322,314.48x = 64,171,506,302.06
  5. Step 5: Solve for x
    x = 64,171,506,302.06/322,314.48
  6. Step 6: Final answer
    x = 199,095.95

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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.