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Finding the Fourth Proportional to 537,678.82, 806,520.12 and 158,604.22

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Solution

The fourth proportional to 537,678.82, 806,520.12 and 158,604.22 is: 237,906.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,678.82 : 806,520.12 = 158,604.22 : x
  2. Step 2: Convert to fraction form
    537,678.82/806,520.12 = 158,604.22/x
  3. Step 3: Cross multiply
    537,678.82x = 806,520.12 × 158,604.22
  4. Step 4: Simplify right side
    537,678.82x = 127,917,494,546.91
  5. Step 5: Solve for x
    x = 127,917,494,546.91/537,678.82
  6. Step 6: Final answer
    x = 237,906.89

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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.