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Finding the Fourth Proportional to 275,692.60, 413,320.20 and 151,033.60

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Solution

The fourth proportional to 275,692.60, 413,320.20 and 151,033.60 is: 226,430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,692.60 : 413,320.20 = 151,033.60 : x
  2. Step 2: Convert to fraction form
    275,692.60/413,320.20 = 151,033.60/x
  3. Step 3: Cross multiply
    275,692.60x = 413,320.20 × 151,033.60
  4. Step 4: Simplify right side
    275,692.60x = 62,425,237,758.72
  5. Step 5: Solve for x
    x = 62,425,237,758.72/275,692.60
  6. Step 6: Final answer
    x = 226,430.59

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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.