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Finding the Fourth Proportional to 475,067.64, 655,344.87 and 293,721.60

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Solution

The fourth proportional to 475,067.64, 655,344.87 and 293,721.60 is: 405,182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,067.64 : 655,344.87 = 293,721.60 : x
  2. Step 2: Convert to fraction form
    475,067.64/655,344.87 = 293,721.60/x
  3. Step 3: Cross multiply
    475,067.64x = 655,344.87 × 293,721.60
  4. Step 4: Simplify right side
    475,067.64x = 192,488,943,768.19
  5. Step 5: Solve for x
    x = 192,488,943,768.19/475,067.64
  6. Step 6: Final answer
    x = 405,182.18

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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.