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Finding the Fourth Proportional to 419,548.52, 578,974.10 and 228,562.04

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Solution

The fourth proportional to 419,548.52, 578,974.10 and 228,562.04 is: 315,414.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,548.52 : 578,974.10 = 228,562.04 : x
  2. Step 2: Convert to fraction form
    419,548.52/578,974.10 = 228,562.04/x
  3. Step 3: Cross multiply
    419,548.52x = 578,974.10 × 228,562.04
  4. Step 4: Simplify right side
    419,548.52x = 132,331,501,403.16
  5. Step 5: Solve for x
    x = 132,331,501,403.16/419,548.52
  6. Step 6: Final answer
    x = 315,414.06

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Why These Related Problems?

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