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Finding the Fourth Proportional to 419,233.46, 578,552.63 and 228,257.33

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Solution

The fourth proportional to 419,233.46, 578,552.63 and 228,257.33 is: 315,000.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,233.46 : 578,552.63 = 228,257.33 : x
  2. Step 2: Convert to fraction form
    419,233.46/578,552.63 = 228,257.33/x
  3. Step 3: Cross multiply
    419,233.46x = 578,552.63 × 228,257.33
  4. Step 4: Simplify right side
    419,233.46x = 132,058,874,554.23
  5. Step 5: Solve for x
    x = 132,058,874,554.23/419,233.46
  6. Step 6: Final answer
    x = 315,000.80

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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.