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Finding the Fourth Proportional to 658,464.38, 987,696.90 and 185,149.73

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Solution

The fourth proportional to 658,464.38, 987,696.90 and 185,149.73 is: 277,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,464.38 : 987,696.90 = 185,149.73 : x
  2. Step 2: Convert to fraction form
    658,464.38/987,696.90 = 185,149.73/x
  3. Step 3: Cross multiply
    658,464.38x = 987,696.90 × 185,149.73
  4. Step 4: Simplify right side
    658,464.38x = 182,871,809,418.35
  5. Step 5: Solve for x
    x = 182,871,809,418.35/658,464.38
  6. Step 6: Final answer
    x = 277,724.68

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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.