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Finding the Fourth Proportional to 394,297.31, 592,680.54 and 260,222.94

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Solution

The fourth proportional to 394,297.31, 592,680.54 and 260,222.94 is: 391,149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,297.31 : 592,680.54 = 260,222.94 : x
  2. Step 2: Convert to fraction form
    394,297.31/592,680.54 = 260,222.94/x
  3. Step 3: Cross multiply
    394,297.31x = 592,680.54 × 260,222.94
  4. Step 4: Simplify right side
    394,297.31x = 154,229,073,575.42
  5. Step 5: Solve for x
    x = 154,229,073,575.42/394,297.31
  6. Step 6: Final answer
    x = 391,149.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.