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Finding the Fourth Proportional to 299,776.88, 413,226.06 and 204,119.12

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Solution

The fourth proportional to 299,776.88, 413,226.06 and 204,119.12 is: 281,367.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,776.88 : 413,226.06 = 204,119.12 : x
  2. Step 2: Convert to fraction form
    299,776.88/413,226.06 = 204,119.12/x
  3. Step 3: Cross multiply
    299,776.88x = 413,226.06 × 204,119.12
  4. Step 4: Simplify right side
    299,776.88x = 84,347,339,995.89
  5. Step 5: Solve for x
    x = 84,347,339,995.89/299,776.88
  6. Step 6: Final answer
    x = 281,367.06

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1.5x scale

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.