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Finding the Fourth Proportional to 365,728.14, 504,806.27 and 212,795.87

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Solution

The fourth proportional to 365,728.14, 504,806.27 and 212,795.87 is: 293,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,728.14 : 504,806.27 = 212,795.87 : x
  2. Step 2: Convert to fraction form
    365,728.14/504,806.27 = 212,795.87/x
  3. Step 3: Cross multiply
    365,728.14x = 504,806.27 × 212,795.87
  4. Step 4: Simplify right side
    365,728.14x = 107,420,685,818.09
  5. Step 5: Solve for x
    x = 107,420,685,818.09/365,728.14
  6. Step 6: Final answer
    x = 293,717.31

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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.