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Finding the Fourth Proportional to 462,564.77, 694,109.59 and 182,278.85

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Solution

The fourth proportional to 462,564.77, 694,109.59 and 182,278.85 is: 273,521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,564.77 : 694,109.59 = 182,278.85 : x
  2. Step 2: Convert to fraction form
    462,564.77/694,109.59 = 182,278.85/x
  3. Step 3: Cross multiply
    462,564.77x = 694,109.59 × 182,278.85
  4. Step 4: Simplify right side
    462,564.77x = 126,521,493,912.93
  5. Step 5: Solve for x
    x = 126,521,493,912.93/462,564.77
  6. Step 6: Final answer
    x = 273,521.68

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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.