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Finding the Fourth Proportional to 389,951.38, 538,062.51 and 226,615.24

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Solution

The fourth proportional to 389,951.38, 538,062.51 and 226,615.24 is: 312,688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,951.38 : 538,062.51 = 226,615.24 : x
  2. Step 2: Convert to fraction form
    389,951.38/538,062.51 = 226,615.24/x
  3. Step 3: Cross multiply
    389,951.38x = 538,062.51 × 226,615.24
  4. Step 4: Simplify right side
    389,951.38x = 121,933,164,838.65
  5. Step 5: Solve for x
    x = 121,933,164,838.65/389,951.38
  6. Step 6: Final answer
    x = 312,688.12

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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.