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Finding the Fourth Proportional to 218,000.40, 327,000.60 and 200,941.80

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Solution

The fourth proportional to 218,000.40, 327,000.60 and 200,941.80 is: 301,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,000.40 : 327,000.60 = 200,941.80 : x
  2. Step 2: Convert to fraction form
    218,000.40/327,000.60 = 200,941.80/x
  3. Step 3: Cross multiply
    218,000.40x = 327,000.60 × 200,941.80
  4. Step 4: Simplify right side
    218,000.40x = 65,708,089,165.08
  5. Step 5: Solve for x
    x = 65,708,089,165.08/218,000.40
  6. Step 6: Final answer
    x = 301,412.70

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1.5x scale

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.