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Finding the Fourth Proportional to 229,152.70, 343,729.05 and 218,266.30

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Solution

The fourth proportional to 229,152.70, 343,729.05 and 218,266.30 is: 327,399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,152.70 : 343,729.05 = 218,266.30 : x
  2. Step 2: Convert to fraction form
    229,152.70/343,729.05 = 218,266.30/x
  3. Step 3: Cross multiply
    229,152.70x = 343,729.05 × 218,266.30
  4. Step 4: Simplify right side
    229,152.70x = 75,024,467,946.02
  5. Step 5: Solve for x
    x = 75,024,467,946.02/229,152.70
  6. Step 6: Final answer
    x = 327,399.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.