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Finding the Fourth Proportional to 431,146.95, 594,983.86 and 259,067.78

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Solution

The fourth proportional to 431,146.95, 594,983.86 and 259,067.78 is: 357,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,146.95 : 594,983.86 = 259,067.78 : x
  2. Step 2: Convert to fraction form
    431,146.95/594,983.86 = 259,067.78/x
  3. Step 3: Cross multiply
    431,146.95x = 594,983.86 × 259,067.78
  4. Step 4: Simplify right side
    431,146.95x = 154,141,147,746.03
  5. Step 5: Solve for x
    x = 154,141,147,746.03/431,146.95
  6. Step 6: Final answer
    x = 357,514.18

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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.