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Finding the Fourth Proportional to 405,046.46, 558,964.04 and 226,198.46

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Solution

The fourth proportional to 405,046.46, 558,964.04 and 226,198.46 is: 312,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,046.46 : 558,964.04 = 226,198.46 : x
  2. Step 2: Convert to fraction form
    405,046.46/558,964.04 = 226,198.46/x
  3. Step 3: Cross multiply
    405,046.46x = 558,964.04 × 226,198.46
  4. Step 4: Simplify right side
    405,046.46x = 126,436,805,043.38
  5. Step 5: Solve for x
    x = 126,436,805,043.38/405,046.46
  6. Step 6: Final answer
    x = 312,153.83

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1.5x scale

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.