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Finding the Fourth Proportional to 502,825.73, 754,040.94 and 182,901.65

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Solution

The fourth proportional to 502,825.73, 754,040.94 and 182,901.65 is: 274,280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,825.73 : 754,040.94 = 182,901.65 : x
  2. Step 2: Convert to fraction form
    502,825.73/754,040.94 = 182,901.65/x
  3. Step 3: Cross multiply
    502,825.73x = 754,040.94 × 182,901.65
  4. Step 4: Simplify right side
    502,825.73x = 137,915,332,093.55
  5. Step 5: Solve for x
    x = 137,915,332,093.55/502,825.73
  6. Step 6: Final answer
    x = 274,280.58

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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.