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Finding the Fourth Proportional to 419,255.72, 578,560.24 and 232,986.54

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Solution

The fourth proportional to 419,255.72, 578,560.24 and 232,986.54 is: 321,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,255.72 : 578,560.24 = 232,986.54 : x
  2. Step 2: Convert to fraction form
    419,255.72/578,560.24 = 232,986.54/x
  3. Step 3: Cross multiply
    419,255.72x = 578,560.24 × 232,986.54
  4. Step 4: Simplify right side
    419,255.72x = 134,796,747,916.70
  5. Step 5: Solve for x
    x = 134,796,747,916.70/419,255.72
  6. Step 6: Final answer
    x = 321,514.40

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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.