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Finding the Fourth Proportional to 298,956.59, 412,326.81 and 191,536.68

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Solution

The fourth proportional to 298,956.59, 412,326.81 and 191,536.68 is: 264,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,956.59 : 412,326.81 = 191,536.68 : x
  2. Step 2: Convert to fraction form
    298,956.59/412,326.81 = 191,536.68/x
  3. Step 3: Cross multiply
    298,956.59x = 412,326.81 × 191,536.68
  4. Step 4: Simplify right side
    298,956.59x = 78,975,708,262.39
  5. Step 5: Solve for x
    x = 78,975,708,262.39/298,956.59
  6. Step 6: Final answer
    x = 264,171.16

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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.