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Finding the Fourth Proportional to 381,698.40, 572,086.80 and 194,613.60

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Solution

The fourth proportional to 381,698.40, 572,086.80 and 194,613.60 is: 291,685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,698.40 : 572,086.80 = 194,613.60 : x
  2. Step 2: Convert to fraction form
    381,698.40/572,086.80 = 194,613.60/x
  3. Step 3: Cross multiply
    381,698.40x = 572,086.80 × 194,613.60
  4. Step 4: Simplify right side
    381,698.40x = 111,335,871,660.48
  5. Step 5: Solve for x
    x = 111,335,871,660.48/381,698.40
  6. Step 6: Final answer
    x = 291,685.46

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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.