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Finding the Fourth Proportional to 298,982.92, 412,588.82 and 163,017.14

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Solution

The fourth proportional to 298,982.92, 412,588.82 and 163,017.14 is: 224,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,982.92 : 412,588.82 = 163,017.14 : x
  2. Step 2: Convert to fraction form
    298,982.92/412,588.82 = 163,017.14/x
  3. Step 3: Cross multiply
    298,982.92x = 412,588.82 × 163,017.14
  4. Step 4: Simplify right side
    298,982.92x = 67,259,049,432.37
  5. Step 5: Solve for x
    x = 67,259,049,432.37/298,982.92
  6. Step 6: Final answer
    x = 224,959.50

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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.