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Finding the Fourth Proportional to 311,728.52, 467,767.95 and 169,583.74

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Solution

The fourth proportional to 311,728.52, 467,767.95 and 169,583.74 is: 254,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,728.52 : 467,767.95 = 169,583.74 : x
  2. Step 2: Convert to fraction form
    311,728.52/467,767.95 = 169,583.74/x
  3. Step 3: Cross multiply
    311,728.52x = 467,767.95 × 169,583.74
  4. Step 4: Simplify right side
    311,728.52x = 79,325,836,607.77
  5. Step 5: Solve for x
    x = 79,325,836,607.77/311,728.52
  6. Step 6: Final answer
    x = 254,470.90

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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.