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Finding the Fourth Proportional to 419,414.48, 578,771.36 and 238,102.61

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Solution

The fourth proportional to 419,414.48, 578,771.36 and 238,102.61 is: 328,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,414.48 : 578,771.36 = 238,102.61 : x
  2. Step 2: Convert to fraction form
    419,414.48/578,771.36 = 238,102.61/x
  3. Step 3: Cross multiply
    419,414.48x = 578,771.36 × 238,102.61
  4. Step 4: Simplify right side
    419,414.48x = 137,806,967,324.88
  5. Step 5: Solve for x
    x = 137,806,967,324.88/419,414.48
  6. Step 6: Final answer
    x = 328,569.89

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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.