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Finding the Fourth Proportional to 419,435.90, 578,771.43 and 238,082.30

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Solution

The fourth proportional to 419,435.90, 578,771.43 and 238,082.30 is: 328,525.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,435.90 : 578,771.43 = 238,082.30 : x
  2. Step 2: Convert to fraction form
    419,435.90/578,771.43 = 238,082.30/x
  3. Step 3: Cross multiply
    419,435.90x = 578,771.43 × 238,082.30
  4. Step 4: Simplify right side
    419,435.90x = 137,795,233,228.69
  5. Step 5: Solve for x
    x = 137,795,233,228.69/419,435.90
  6. Step 6: Final answer
    x = 328,525.13

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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.