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Finding the Fourth Proportional to 298,794.24, 412,175.70 and 191,248.56

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Solution

The fourth proportional to 298,794.24, 412,175.70 and 191,248.56 is: 263,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,794.24 : 412,175.70 = 191,248.56 : x
  2. Step 2: Convert to fraction form
    298,794.24/412,175.70 = 191,248.56/x
  3. Step 3: Cross multiply
    298,794.24x = 412,175.70 × 191,248.56
  4. Step 4: Simplify right side
    298,794.24x = 78,828,009,091.99
  5. Step 5: Solve for x
    x = 78,828,009,091.99/298,794.24
  6. Step 6: Final answer
    x = 263,820.38

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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.