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Finding the Fourth Proportional to 300,677.31, 414,777.36 and 185,919.26

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Solution

The fourth proportional to 300,677.31, 414,777.36 and 185,919.26 is: 256,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,677.31 : 414,777.36 = 185,919.26 : x
  2. Step 2: Convert to fraction form
    300,677.31/414,777.36 = 185,919.26/x
  3. Step 3: Cross multiply
    300,677.31x = 414,777.36 × 185,919.26
  4. Step 4: Simplify right side
    300,677.31x = 77,115,099,835.95
  5. Step 5: Solve for x
    x = 77,115,099,835.95/300,677.31
  6. Step 6: Final answer
    x = 256,471.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.