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Finding the Fourth Proportional to 394,250.80, 590,987.40 and 194,407.60

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Solution

The fourth proportional to 394,250.80, 590,987.40 and 194,407.60 is: 291,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,250.80 : 590,987.40 = 194,407.60 : x
  2. Step 2: Convert to fraction form
    394,250.80/590,987.40 = 194,407.60/x
  3. Step 3: Cross multiply
    394,250.80x = 590,987.40 × 194,407.60
  4. Step 4: Simplify right side
    394,250.80x = 114,892,442,064.24
  5. Step 5: Solve for x
    x = 114,892,442,064.24/394,250.80
  6. Step 6: Final answer
    x = 291,419.68

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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.