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Finding the Fourth Proportional to 459,469.80, 688,922.46 and 178,659.72

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Solution

The fourth proportional to 459,469.80, 688,922.46 and 178,659.72 is: 267,879.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,469.80 : 688,922.46 = 178,659.72 : x
  2. Step 2: Convert to fraction form
    459,469.80/688,922.46 = 178,659.72/x
  3. Step 3: Cross multiply
    459,469.80x = 688,922.46 × 178,659.72
  4. Step 4: Simplify right side
    459,469.80x = 123,082,693,805.31
  5. Step 5: Solve for x
    x = 123,082,693,805.31/459,469.80
  6. Step 6: Final answer
    x = 267,879.83

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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.