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Finding the Fourth Proportional to 299,322.96, 413,064.84 and 165,186

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Solution

The fourth proportional to 299,322.96, 413,064.84 and 165,186 is: 227,956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,322.96 : 413,064.84 = 165,186 : x
  2. Step 2: Convert to fraction form
    299,322.96/413,064.84 = 165,186/x
  3. Step 3: Cross multiply
    299,322.96x = 413,064.84 × 165,186
  4. Step 4: Simplify right side
    299,322.96x = 68,232,528,660.24
  5. Step 5: Solve for x
    x = 68,232,528,660.24/299,322.96
  6. Step 6: Final answer
    x = 227,956.21

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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.