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Finding the Fourth Proportional to 503,214.24, 694,446.24 and 276,860.16

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Solution

The fourth proportional to 503,214.24, 694,446.24 and 276,860.16 is: 382,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,214.24 : 694,446.24 = 276,860.16 : x
  2. Step 2: Convert to fraction form
    503,214.24/694,446.24 = 276,860.16/x
  3. Step 3: Cross multiply
    503,214.24x = 694,446.24 × 276,860.16
  4. Step 4: Simplify right side
    503,214.24x = 192,264,497,117.80
  5. Step 5: Solve for x
    x = 192,264,497,117.80/503,214.24
  6. Step 6: Final answer
    x = 382,072.85

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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.