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Finding the Fourth Proportional to 537,508.42, 741,743.02 and 295,768.39

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Solution

The fourth proportional to 537,508.42, 741,743.02 and 295,768.39 is: 408,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,508.42 : 741,743.02 = 295,768.39 : x
  2. Step 2: Convert to fraction form
    537,508.42/741,743.02 = 295,768.39/x
  3. Step 3: Cross multiply
    537,508.42x = 741,743.02 × 295,768.39
  4. Step 4: Simplify right side
    537,508.42x = 219,384,138,819.14
  5. Step 5: Solve for x
    x = 219,384,138,819.14/537,508.42
  6. Step 6: Final answer
    x = 408,150.14

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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.