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Finding the Fourth Proportional to 543,768.50, 815,826.10 and 228,140.66

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Solution

The fourth proportional to 543,768.50, 815,826.10 and 228,140.66 is: 342,283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,768.50 : 815,826.10 = 228,140.66 : x
  2. Step 2: Convert to fraction form
    543,768.50/815,826.10 = 228,140.66/x
  3. Step 3: Cross multiply
    543,768.50x = 815,826.10 × 228,140.66
  4. Step 4: Simplify right side
    543,768.50x = 186,123,104,899.23
  5. Step 5: Solve for x
    x = 186,123,104,899.23/543,768.50
  6. Step 6: Final answer
    x = 342,283.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.