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Finding the Fourth Proportional to 272,006.70, 408,010.05 and 261,638.70

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Solution

The fourth proportional to 272,006.70, 408,010.05 and 261,638.70 is: 392,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,006.70 : 408,010.05 = 261,638.70 : x
  2. Step 2: Convert to fraction form
    272,006.70/408,010.05 = 261,638.70/x
  3. Step 3: Cross multiply
    272,006.70x = 408,010.05 × 261,638.70
  4. Step 4: Simplify right side
    272,006.70x = 106,751,219,068.94
  5. Step 5: Solve for x
    x = 106,751,219,068.94/272,006.70
  6. Step 6: Final answer
    x = 392,458.05

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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.