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Finding the Fourth Proportional to 437,692.82, 656,596.65 and 171,418.74

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Solution

The fourth proportional to 437,692.82, 656,596.65 and 171,418.74 is: 257,150.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,692.82 : 656,596.65 = 171,418.74 : x
  2. Step 2: Convert to fraction form
    437,692.82/656,596.65 = 171,418.74/x
  3. Step 3: Cross multiply
    437,692.82x = 656,596.65 × 171,418.74
  4. Step 4: Simplify right side
    437,692.82x = 112,552,970,431.22
  5. Step 5: Solve for x
    x = 112,552,970,431.22/437,692.82
  6. Step 6: Final answer
    x = 257,150.60

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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.