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Finding the Fourth Proportional to 459,504.88, 688,974.84 and 178,694.80

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Solution

The fourth proportional to 459,504.88, 688,974.84 and 178,694.80 is: 267,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,504.88 : 688,974.84 = 178,694.80 : x
  2. Step 2: Convert to fraction form
    459,504.88/688,974.84 = 178,694.80/x
  3. Step 3: Cross multiply
    459,504.88x = 688,974.84 × 178,694.80
  4. Step 4: Simplify right side
    459,504.88x = 123,116,221,238.83
  5. Step 5: Solve for x
    x = 123,116,221,238.83/459,504.88
  6. Step 6: Final answer
    x = 267,932.35

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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.