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Finding the Fourth Proportional to 384,024.80, 576,474.60 and 226,342.10

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Solution

The fourth proportional to 384,024.80, 576,474.60 and 226,342.10 is: 339,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,024.80 : 576,474.60 = 226,342.10 : x
  2. Step 2: Convert to fraction form
    384,024.80/576,474.60 = 226,342.10/x
  3. Step 3: Cross multiply
    384,024.80x = 576,474.60 × 226,342.10
  4. Step 4: Simplify right side
    384,024.80x = 130,480,471,560.66
  5. Step 5: Solve for x
    x = 130,480,471,560.66/384,024.80
  6. Step 6: Final answer
    x = 339,770.95

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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.