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Finding the Fourth Proportional to 394,276.80, 591,026.40 and 194,433.60

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Solution

The fourth proportional to 394,276.80, 591,026.40 and 194,433.60 is: 291,458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,276.80 : 591,026.40 = 194,433.60 : x
  2. Step 2: Convert to fraction form
    394,276.80/591,026.40 = 194,433.60/x
  3. Step 3: Cross multiply
    394,276.80x = 591,026.40 × 194,433.60
  4. Step 4: Simplify right side
    394,276.80x = 114,915,390,647.04
  5. Step 5: Solve for x
    x = 114,915,390,647.04/394,276.80
  6. Step 6: Final answer
    x = 291,458.67

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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.