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Finding the Fourth Proportional to 409,795.97, 565,317.83 and 273,863.57

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Solution

The fourth proportional to 409,795.97, 565,317.83 and 273,863.57 is: 377,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,795.97 : 565,317.83 = 273,863.57 : x
  2. Step 2: Convert to fraction form
    409,795.97/565,317.83 = 273,863.57/x
  3. Step 3: Cross multiply
    409,795.97x = 565,317.83 × 273,863.57
  4. Step 4: Simplify right side
    409,795.97x = 154,819,956,966.52
  5. Step 5: Solve for x
    x = 154,819,956,966.52/409,795.97
  6. Step 6: Final answer
    x = 377,797.66

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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.