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Finding the Fourth Proportional to 537,691.69, 806,537.54 and 222,156.78

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Solution

The fourth proportional to 537,691.69, 806,537.54 and 222,156.78 is: 333,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,691.69 : 806,537.54 = 222,156.78 : x
  2. Step 2: Convert to fraction form
    537,691.69/806,537.54 = 222,156.78/x
  3. Step 3: Cross multiply
    537,691.69x = 806,537.54 × 222,156.78
  4. Step 4: Simplify right side
    537,691.69x = 179,177,782,835.52
  5. Step 5: Solve for x
    x = 179,177,782,835.52/537,691.69
  6. Step 6: Final answer
    x = 333,235.17

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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.