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Finding the Fourth Proportional to 259,723.40, 389,585.10 and 213,067.40

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Solution

The fourth proportional to 259,723.40, 389,585.10 and 213,067.40 is: 319,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,723.40 : 389,585.10 = 213,067.40 : x
  2. Step 2: Convert to fraction form
    259,723.40/389,585.10 = 213,067.40/x
  3. Step 3: Cross multiply
    259,723.40x = 389,585.10 × 213,067.40
  4. Step 4: Simplify right side
    259,723.40x = 83,007,884,335.74
  5. Step 5: Solve for x
    x = 83,007,884,335.74/259,723.40
  6. Step 6: Final answer
    x = 319,601.10

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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.