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Finding the Fourth Proportional to 394,057.34, 591,377.70 and 293,085.98

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Solution

The fourth proportional to 394,057.34, 591,377.70 and 293,085.98 is: 439,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,057.34 : 591,377.70 = 293,085.98 : x
  2. Step 2: Convert to fraction form
    394,057.34/591,377.70 = 293,085.98/x
  3. Step 3: Cross multiply
    394,057.34x = 591,377.70 × 293,085.98
  4. Step 4: Simplify right side
    394,057.34x = 173,324,512,754.65
  5. Step 5: Solve for x
    x = 173,324,512,754.65/394,057.34
  6. Step 6: Final answer
    x = 439,845.92

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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.