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Finding the Fourth Proportional to 503,431.84, 694,722.72 and 273,993.76

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Solution

The fourth proportional to 503,431.84, 694,722.72 and 273,993.76 is: 378,104.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,431.84 : 694,722.72 = 273,993.76 : x
  2. Step 2: Convert to fraction form
    503,431.84/694,722.72 = 273,993.76/x
  3. Step 3: Cross multiply
    503,431.84x = 694,722.72 × 273,993.76
  4. Step 4: Simplify right side
    503,431.84x = 190,349,690,210.23
  5. Step 5: Solve for x
    x = 190,349,690,210.23/503,431.84
  6. Step 6: Final answer
    x = 378,104.19

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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.