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Finding the Fourth Proportional to 538,134, 742,624.92 and 311,910.72

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Solution

The fourth proportional to 538,134, 742,624.92 and 311,910.72 is: 430,436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,134 : 742,624.92 = 311,910.72 : x
  2. Step 2: Convert to fraction form
    538,134/742,624.92 = 311,910.72/x
  3. Step 3: Cross multiply
    538,134x = 742,624.92 × 311,910.72
  4. Step 4: Simplify right side
    538,134x = 231,632,673,487.14
  5. Step 5: Solve for x
    x = 231,632,673,487.14/538,134
  6. Step 6: Final answer
    x = 430,436.79

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