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Finding the Fourth Proportional to 275,820.80, 413,828.40 and 266,100.80

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Solution

The fourth proportional to 275,820.80, 413,828.40 and 266,100.80 is: 399,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,820.80 : 413,828.40 = 266,100.80 : x
  2. Step 2: Convert to fraction form
    275,820.80/413,828.40 = 266,100.80/x
  3. Step 3: Cross multiply
    275,820.80x = 413,828.40 × 266,100.80
  4. Step 4: Simplify right side
    275,820.80x = 110,120,068,302.72
  5. Step 5: Solve for x
    x = 110,120,068,302.72/275,820.80
  6. Step 6: Final answer
    x = 399,244.97

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Why These Related Problems?

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