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Finding the Fourth Proportional to 463,023.69, 694,562.42 and 178,715.85

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Solution

The fourth proportional to 463,023.69, 694,562.42 and 178,715.85 is: 268,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,023.69 : 694,562.42 = 178,715.85 : x
  2. Step 2: Convert to fraction form
    463,023.69/694,562.42 = 178,715.85/x
  3. Step 3: Cross multiply
    463,023.69x = 694,562.42 × 178,715.85
  4. Step 4: Simplify right side
    463,023.69x = 124,129,313,268.36
  5. Step 5: Solve for x
    x = 124,129,313,268.36/463,023.69
  6. Step 6: Final answer
    x = 268,084.15

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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.