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Finding the Fourth Proportional to 538,091.52, 807,251.13 and 178,242

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Solution

The fourth proportional to 538,091.52, 807,251.13 and 178,242 is: 267,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,091.52 : 807,251.13 = 178,242 : x
  2. Step 2: Convert to fraction form
    538,091.52/807,251.13 = 178,242/x
  3. Step 3: Cross multiply
    538,091.52x = 807,251.13 × 178,242
  4. Step 4: Simplify right side
    538,091.52x = 143,886,055,913.46
  5. Step 5: Solve for x
    x = 143,886,055,913.46/538,091.52
  6. Step 6: Final answer
    x = 267,400.71

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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.