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Finding the Fourth Proportional to 282,498.27, 423,805.74 and 82,825.17

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Solution

The fourth proportional to 282,498.27, 423,805.74 and 82,825.17 is: 124,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,498.27 : 423,805.74 = 82,825.17 : x
  2. Step 2: Convert to fraction form
    282,498.27/423,805.74 = 82,825.17/x
  3. Step 3: Cross multiply
    282,498.27x = 423,805.74 × 82,825.17
  4. Step 4: Simplify right side
    282,498.27x = 35,101,782,462.48
  5. Step 5: Solve for x
    x = 35,101,782,462.48/282,498.27
  6. Step 6: Final answer
    x = 124,254.86

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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.