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Finding the Fourth Proportional to 413,995.50, 620,463.42 and 214,278.66

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Solution

The fourth proportional to 413,995.50, 620,463.42 and 214,278.66 is: 321,143.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,995.50 : 620,463.42 = 214,278.66 : x
  2. Step 2: Convert to fraction form
    413,995.50/620,463.42 = 214,278.66/x
  3. Step 3: Cross multiply
    413,995.50x = 620,463.42 × 214,278.66
  4. Step 4: Simplify right side
    413,995.50x = 132,952,070,216.62
  5. Step 5: Solve for x
    x = 132,952,070,216.62/413,995.50
  6. Step 6: Final answer
    x = 321,143.76

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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.