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Finding the Fourth Proportional to 419,141.26, 578,391.48 and 228,143.26

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Solution

The fourth proportional to 419,141.26, 578,391.48 and 228,143.26 is: 314,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,141.26 : 578,391.48 = 228,143.26 : x
  2. Step 2: Convert to fraction form
    419,141.26/578,391.48 = 228,143.26/x
  3. Step 3: Cross multiply
    419,141.26x = 578,391.48 × 228,143.26
  4. Step 4: Simplify right side
    419,141.26x = 131,956,117,803.43
  5. Step 5: Solve for x
    x = 131,956,117,803.43/419,141.26
  6. Step 6: Final answer
    x = 314,824.93

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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.