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Finding the Fourth Proportional to 412,182, 568,811.16 and 233,334

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Solution

The fourth proportional to 412,182, 568,811.16 and 233,334 is: 322,000.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,182 : 568,811.16 = 233,334 : x
  2. Step 2: Convert to fraction form
    412,182/568,811.16 = 233,334/x
  3. Step 3: Cross multiply
    412,182x = 568,811.16 × 233,334
  4. Step 4: Simplify right side
    412,182x = 132,722,983,207.44
  5. Step 5: Solve for x
    x = 132,722,983,207.44/412,182
  6. Step 6: Final answer
    x = 322,000.92

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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.