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Finding the Fourth Proportional to 389,950.38, 538,061.13 and 226,614.24

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Solution

The fourth proportional to 389,950.38, 538,061.13 and 226,614.24 is: 312,686.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,950.38 : 538,061.13 = 226,614.24 : x
  2. Step 2: Convert to fraction form
    389,950.38/538,061.13 = 226,614.24/x
  3. Step 3: Cross multiply
    389,950.38x = 538,061.13 × 226,614.24
  4. Step 4: Simplify right side
    389,950.38x = 121,932,314,048.49
  5. Step 5: Solve for x
    x = 121,932,314,048.49/389,950.38
  6. Step 6: Final answer
    x = 312,686.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.