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Finding the Fourth Proportional to 378,449.42, 567,577.30 and 112,147.77

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Solution

The fourth proportional to 378,449.42, 567,577.30 and 112,147.77 is: 168,192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,449.42 : 567,577.30 = 112,147.77 : x
  2. Step 2: Convert to fraction form
    378,449.42/567,577.30 = 112,147.77/x
  3. Step 3: Cross multiply
    378,449.42x = 567,577.30 × 112,147.77
  4. Step 4: Simplify right side
    378,449.42x = 63,652,526,082.43
  5. Step 5: Solve for x
    x = 63,652,526,082.43/378,449.42
  6. Step 6: Final answer
    x = 168,192.96

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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.