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Finding the Fourth Proportional to 378,520.16, 567,692.69 and 112,216.46

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Solution

The fourth proportional to 378,520.16, 567,692.69 and 112,216.46 is: 168,298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,520.16 : 567,692.69 = 112,216.46 : x
  2. Step 2: Convert to fraction form
    378,520.16/567,692.69 = 112,216.46/x
  3. Step 3: Cross multiply
    378,520.16x = 567,692.69 × 112,216.46
  4. Step 4: Simplify right side
    378,520.16x = 63,704,460,640.13
  5. Step 5: Solve for x
    x = 63,704,460,640.13/378,520.16
  6. Step 6: Final answer
    x = 168,298.73

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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.