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Finding the Fourth Proportional to 328,198.97, 492,381.59 and 91,541.61

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Solution

The fourth proportional to 328,198.97, 492,381.59 and 91,541.61 is: 137,335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,198.97 : 492,381.59 = 91,541.61 : x
  2. Step 2: Convert to fraction form
    328,198.97/492,381.59 = 91,541.61/x
  3. Step 3: Cross multiply
    328,198.97x = 492,381.59 × 91,541.61
  4. Step 4: Simplify right side
    328,198.97x = 45,073,403,025.25
  5. Step 5: Solve for x
    x = 45,073,403,025.25/328,198.97
  6. Step 6: Final answer
    x = 137,335.60

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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.