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Finding the Fourth Proportional to 503,257.50, 694,495.35 and 276,898.14

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Solution

The fourth proportional to 503,257.50, 694,495.35 and 276,898.14 is: 382,119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,257.50 : 694,495.35 = 276,898.14 : x
  2. Step 2: Convert to fraction form
    503,257.50/694,495.35 = 276,898.14/x
  3. Step 3: Cross multiply
    503,257.50x = 694,495.35 × 276,898.14
  4. Step 4: Simplify right side
    503,257.50x = 192,304,470,653.65
  5. Step 5: Solve for x
    x = 192,304,470,653.65/503,257.50
  6. Step 6: Final answer
    x = 382,119.43

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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.