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Finding the Fourth Proportional to 318,120.42, 476,142.12 and 233,858.28

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Solution

The fourth proportional to 318,120.42, 476,142.12 and 233,858.28 is: 350,023.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,120.42 : 476,142.12 = 233,858.28 : x
  2. Step 2: Convert to fraction form
    318,120.42/476,142.12 = 233,858.28/x
  3. Step 3: Cross multiply
    318,120.42x = 476,142.12 × 233,858.28
  4. Step 4: Simplify right side
    318,120.42x = 111,349,777,218.75
  5. Step 5: Solve for x
    x = 111,349,777,218.75/318,120.42
  6. Step 6: Final answer
    x = 350,023.99

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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.