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Finding the Fourth Proportional to 298,983.17, 412,589.16 and 163,017.38

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Solution

The fourth proportional to 298,983.17, 412,589.16 and 163,017.38 is: 224,959.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,983.17 : 412,589.16 = 163,017.38 : x
  2. Step 2: Convert to fraction form
    298,983.17/412,589.16 = 163,017.38/x
  3. Step 3: Cross multiply
    298,983.17x = 412,589.16 × 163,017.38
  4. Step 4: Simplify right side
    298,983.17x = 67,259,204,911.07
  5. Step 5: Solve for x
    x = 67,259,204,911.07/298,983.17
  6. Step 6: Final answer
    x = 224,959.83

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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.