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Finding the Fourth Proportional to 312,016.85, 467,649.30 and 143,304.38

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Solution

The fourth proportional to 312,016.85, 467,649.30 and 143,304.38 is: 214,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,016.85 : 467,649.30 = 143,304.38 : x
  2. Step 2: Convert to fraction form
    312,016.85/467,649.30 = 143,304.38/x
  3. Step 3: Cross multiply
    312,016.85x = 467,649.30 × 143,304.38
  4. Step 4: Simplify right side
    312,016.85x = 67,016,192,993.93
  5. Step 5: Solve for x
    x = 67,016,192,993.93/312,016.85
  6. Step 6: Final answer
    x = 214,783.89

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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.