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Finding the Fourth Proportional to 503,182, 694,391.16 and 276,822.64

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Solution

The fourth proportional to 503,182, 694,391.16 and 276,822.64 is: 382,015.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,182 : 694,391.16 = 276,822.64 : x
  2. Step 2: Convert to fraction form
    503,182/694,391.16 = 276,822.64/x
  3. Step 3: Cross multiply
    503,182x = 694,391.16 × 276,822.64
  4. Step 4: Simplify right side
    503,182x = 192,223,194,103.86
  5. Step 5: Solve for x
    x = 192,223,194,103.86/503,182
  6. Step 6: Final answer
    x = 382,015.24

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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.