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Finding the Fourth Proportional to 298,964.58, 412,337.84 and 191,544.68

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Solution

The fourth proportional to 298,964.58, 412,337.84 and 191,544.68 is: 264,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,964.58 : 412,337.84 = 191,544.68 : x
  2. Step 2: Convert to fraction form
    298,964.58/412,337.84 = 191,544.68/x
  3. Step 3: Cross multiply
    298,964.58x = 412,337.84 × 191,544.68
  4. Step 4: Simplify right side
    298,964.58x = 78,981,119,614.69
  5. Step 5: Solve for x
    x = 78,981,119,614.69/298,964.58
  6. Step 6: Final answer
    x = 264,182.20

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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.