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Finding the Fourth Proportional to 288,254.43, 432,397.44 and 119,791.71

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Solution

The fourth proportional to 288,254.43, 432,397.44 and 119,791.71 is: 179,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,254.43 : 432,397.44 = 119,791.71 : x
  2. Step 2: Convert to fraction form
    288,254.43/432,397.44 = 119,791.71/x
  3. Step 3: Cross multiply
    288,254.43x = 432,397.44 × 119,791.71
  4. Step 4: Simplify right side
    288,254.43x = 51,797,628,737.22
  5. Step 5: Solve for x
    x = 51,797,628,737.22/288,254.43
  6. Step 6: Final answer
    x = 179,694.13

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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.