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Finding the Fourth Proportional to 412,242, 568,894.02 and 233,394

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Solution

The fourth proportional to 412,242, 568,894.02 and 233,394 is: 322,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,242 : 568,894.02 = 233,394 : x
  2. Step 2: Convert to fraction form
    412,242/568,894.02 = 233,394/x
  3. Step 3: Cross multiply
    412,242x = 568,894.02 × 233,394
  4. Step 4: Simplify right side
    412,242x = 132,776,450,903.88
  5. Step 5: Solve for x
    x = 132,776,450,903.88/412,242
  6. Step 6: Final answer
    x = 322,083.75

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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.