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Finding the Fourth Proportional to 419,211.20, 578,492.33 and 228,224.13

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Solution

The fourth proportional to 419,211.20, 578,492.33 and 228,224.13 is: 314,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,211.20 : 578,492.33 = 228,224.13 : x
  2. Step 2: Convert to fraction form
    419,211.20/578,492.33 = 228,224.13/x
  3. Step 3: Cross multiply
    419,211.20x = 578,492.33 × 228,224.13
  4. Step 4: Simplify right side
    419,211.20x = 132,025,907,584.80
  5. Step 5: Solve for x
    x = 132,025,907,584.80/419,211.20
  6. Step 6: Final answer
    x = 314,938.89

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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.