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Finding the Fourth Proportional to 298,956.21, 412,326.29 and 191,536.31

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Solution

The fourth proportional to 298,956.21, 412,326.29 and 191,536.31 is: 264,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,956.21 : 412,326.29 = 191,536.31 : x
  2. Step 2: Convert to fraction form
    298,956.21/412,326.29 = 191,536.31/x
  3. Step 3: Cross multiply
    298,956.21x = 412,326.29 × 191,536.31
  4. Step 4: Simplify right side
    298,956.21x = 78,975,453,083.28
  5. Step 5: Solve for x
    x = 78,975,453,083.28/298,956.21
  6. Step 6: Final answer
    x = 264,170.64

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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.