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Finding the Fourth Proportional to 288,394.11, 431,739.22 and 213,013.71

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Solution

The fourth proportional to 288,394.11, 431,739.22 and 213,013.71 is: 318,891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,394.11 : 431,739.22 = 213,013.71 : x
  2. Step 2: Convert to fraction form
    288,394.11/431,739.22 = 213,013.71/x
  3. Step 3: Cross multiply
    288,394.11x = 431,739.22 × 213,013.71
  4. Step 4: Simplify right side
    288,394.11x = 91,966,373,004.71
  5. Step 5: Solve for x
    x = 91,966,373,004.71/288,394.11
  6. Step 6: Final answer
    x = 318,891.30

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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.