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Finding the Fourth Proportional to 538,093.02, 807,253.38 and 178,243.50

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Solution

The fourth proportional to 538,093.02, 807,253.38 and 178,243.50 is: 267,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,093.02 : 807,253.38 = 178,243.50 : x
  2. Step 2: Convert to fraction form
    538,093.02/807,253.38 = 178,243.50/x
  3. Step 3: Cross multiply
    538,093.02x = 807,253.38 × 178,243.50
  4. Step 4: Simplify right side
    538,093.02x = 143,887,667,838.03
  5. Step 5: Solve for x
    x = 143,887,667,838.03/538,093.02
  6. Step 6: Final answer
    x = 267,402.96

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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.