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Finding the Fourth Proportional to 409,553.14, 614,288.17 and 109,994.78

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Solution

The fourth proportional to 409,553.14, 614,288.17 and 109,994.78 is: 164,981.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,553.14 : 614,288.17 = 109,994.78 : x
  2. Step 2: Convert to fraction form
    409,553.14/614,288.17 = 109,994.78/x
  3. Step 3: Cross multiply
    409,553.14x = 614,288.17 × 109,994.78
  4. Step 4: Simplify right side
    409,553.14x = 67,568,492,115.75
  5. Step 5: Solve for x
    x = 67,568,492,115.75/409,553.14
  6. Step 6: Final answer
    x = 164,981.01

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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.