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Finding the Fourth Proportional to 276,433.82, 381,596.37 and 185,842.32

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Solution

The fourth proportional to 276,433.82, 381,596.37 and 185,842.32 is: 256,541.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,433.82 : 381,596.37 = 185,842.32 : x
  2. Step 2: Convert to fraction form
    276,433.82/381,596.37 = 185,842.32/x
  3. Step 3: Cross multiply
    276,433.82x = 381,596.37 × 185,842.32
  4. Step 4: Simplify right side
    276,433.82x = 70,916,754,704.38
  5. Step 5: Solve for x
    x = 70,916,754,704.38/276,433.82
  6. Step 6: Final answer
    x = 256,541.53

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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.