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Finding the Fourth Proportional to 503,237.76, 694,468.10 and 276,883.24

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Solution

The fourth proportional to 503,237.76, 694,468.10 and 276,883.24 is: 382,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,237.76 : 694,468.10 = 276,883.24 : x
  2. Step 2: Convert to fraction form
    503,237.76/694,468.10 = 276,883.24/x
  3. Step 3: Cross multiply
    503,237.76x = 694,468.10 × 276,883.24
  4. Step 4: Simplify right side
    503,237.76x = 192,286,577,604.64
  5. Step 5: Solve for x
    x = 192,286,577,604.64/503,237.76
  6. Step 6: Final answer
    x = 382,098.87

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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.