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Finding the Fourth Proportional to 409,676, 614,514.36 and 114,188

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Solution

The fourth proportional to 409,676, 614,514.36 and 114,188 is: 171,282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,676 : 614,514.36 = 114,188 : x
  2. Step 2: Convert to fraction form
    409,676/614,514.36 = 114,188/x
  3. Step 3: Cross multiply
    409,676x = 614,514.36 × 114,188
  4. Step 4: Simplify right side
    409,676x = 70,170,165,739.68
  5. Step 5: Solve for x
    x = 70,170,165,739.68/409,676
  6. Step 6: Final answer
    x = 171,282.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.