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Finding the Fourth Proportional to 474,286.05, 654,857.06 and 293,246.19

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Solution

The fourth proportional to 474,286.05, 654,857.06 and 293,246.19 is: 404,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,286.05 : 654,857.06 = 293,246.19 : x
  2. Step 2: Convert to fraction form
    474,286.05/654,857.06 = 293,246.19/x
  3. Step 3: Cross multiply
    474,286.05x = 654,857.06 × 293,246.19
  4. Step 4: Simplify right side
    474,286.05x = 192,034,336,373.37
  5. Step 5: Solve for x
    x = 192,034,336,373.37/474,286.05
  6. Step 6: Final answer
    x = 404,891.39

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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.