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Finding the Fourth Proportional to 311,123.16, 429,222.24 and 230,748.48

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Solution

The fourth proportional to 311,123.16, 429,222.24 and 230,748.48 is: 318,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,123.16 : 429,222.24 = 230,748.48 : x
  2. Step 2: Convert to fraction form
    311,123.16/429,222.24 = 230,748.48/x
  3. Step 3: Cross multiply
    311,123.16x = 429,222.24 × 230,748.48
  4. Step 4: Simplify right side
    311,123.16x = 99,042,379,462.20
  5. Step 5: Solve for x
    x = 99,042,379,462.20/311,123.16
  6. Step 6: Final answer
    x = 318,338.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.