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Finding the Fourth Proportional to 394,453.80, 591,291.90 and 194,610.60

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Solution

The fourth proportional to 394,453.80, 591,291.90 and 194,610.60 is: 291,724.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,453.80 : 591,291.90 = 194,610.60 : x
  2. Step 2: Convert to fraction form
    394,453.80/591,291.90 = 194,610.60/x
  3. Step 3: Cross multiply
    394,453.80x = 591,291.90 × 194,610.60
  4. Step 4: Simplify right side
    394,453.80x = 115,071,671,434.14
  5. Step 5: Solve for x
    x = 115,071,671,434.14/394,453.80
  6. Step 6: Final answer
    x = 291,724.08

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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.