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Finding the Fourth Proportional to 340,865.92, 511,529.28 and 119,251.84

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Solution

The fourth proportional to 340,865.92, 511,529.28 and 119,251.84 is: 178,958.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,865.92 : 511,529.28 = 119,251.84 : x
  2. Step 2: Convert to fraction form
    340,865.92/511,529.28 = 119,251.84/x
  3. Step 3: Cross multiply
    340,865.92x = 511,529.28 × 119,251.84
  4. Step 4: Simplify right side
    340,865.92x = 61,000,807,853.88
  5. Step 5: Solve for x
    x = 61,000,807,853.88/340,865.92
  6. Step 6: Final answer
    x = 178,958.37

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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.