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Finding the Fourth Proportional to 412,239, 568,889.88 and 233,391

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Solution

The fourth proportional to 412,239, 568,889.88 and 233,391 is: 322,079.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,239 : 568,889.88 = 233,391 : x
  2. Step 2: Convert to fraction form
    412,239/568,889.88 = 233,391/x
  3. Step 3: Cross multiply
    412,239x = 568,889.88 × 233,391
  4. Step 4: Simplify right side
    412,239x = 132,773,777,983.08
  5. Step 5: Solve for x
    x = 132,773,777,983.08/412,239
  6. Step 6: Final answer
    x = 322,079.61

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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.