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Finding the Fourth Proportional to 466,401.38, 699,724.26 and 146,540.33

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Solution

The fourth proportional to 466,401.38, 699,724.26 and 146,540.33 is: 219,848.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,401.38 : 699,724.26 = 146,540.33 : x
  2. Step 2: Convert to fraction form
    466,401.38/699,724.26 = 146,540.33/x
  3. Step 3: Cross multiply
    466,401.38x = 699,724.26 × 146,540.33
  4. Step 4: Simplify right side
    466,401.38x = 102,537,820,470.79
  5. Step 5: Solve for x
    x = 102,537,820,470.79/466,401.38
  6. Step 6: Final answer
    x = 219,848.88

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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.