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Finding the Fourth Proportional to 297,079.92, 409,949.10 and 168,017.76

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Solution

The fourth proportional to 297,079.92, 409,949.10 and 168,017.76 is: 231,852.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,079.92 : 409,949.10 = 168,017.76 : x
  2. Step 2: Convert to fraction form
    297,079.92/409,949.10 = 168,017.76/x
  3. Step 3: Cross multiply
    297,079.92x = 409,949.10 × 168,017.76
  4. Step 4: Simplify right side
    297,079.92x = 68,878,729,496.02
  5. Step 5: Solve for x
    x = 68,878,729,496.02/297,079.92
  6. Step 6: Final answer
    x = 231,852.52

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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.