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Finding the Fourth Proportional to 442,896.93, 664,023.56 and 176,577.57

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Solution

The fourth proportional to 442,896.93, 664,023.56 and 176,577.57 is: 264,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,896.93 : 664,023.56 = 176,577.57 : x
  2. Step 2: Convert to fraction form
    442,896.93/664,023.56 = 176,577.57/x
  3. Step 3: Cross multiply
    442,896.93x = 664,023.56 × 176,577.57
  4. Step 4: Simplify right side
    442,896.93x = 117,251,665,764.66
  5. Step 5: Solve for x
    x = 117,251,665,764.66/442,896.93
  6. Step 6: Final answer
    x = 264,738.04

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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.