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Finding the Fourth Proportional to 300,994.92, 415,377.66 and 165,041.28

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Solution

The fourth proportional to 300,994.92, 415,377.66 and 165,041.28 is: 227,759.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,994.92 : 415,377.66 = 165,041.28 : x
  2. Step 2: Convert to fraction form
    300,994.92/415,377.66 = 165,041.28/x
  3. Step 3: Cross multiply
    300,994.92x = 415,377.66 × 165,041.28
  4. Step 4: Simplify right side
    300,994.92x = 68,554,460,689.80
  5. Step 5: Solve for x
    x = 68,554,460,689.80/300,994.92
  6. Step 6: Final answer
    x = 227,759.53

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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.