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Finding the Fourth Proportional to 298,972.77, 412,478.91 and 191,601.96

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Solution

The fourth proportional to 298,972.77, 412,478.91 and 191,601.96 is: 264,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,972.77 : 412,478.91 = 191,601.96 : x
  2. Step 2: Convert to fraction form
    298,972.77/412,478.91 = 191,601.96/x
  3. Step 3: Cross multiply
    298,972.77x = 412,478.91 × 191,601.96
  4. Step 4: Simplify right side
    298,972.77x = 79,031,767,614.66
  5. Step 5: Solve for x
    x = 79,031,767,614.66/298,972.77
  6. Step 6: Final answer
    x = 264,344.37

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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.