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Finding the Fourth Proportional to 252,448.17, 378,311.40 and 185,361.96

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Solution

The fourth proportional to 252,448.17, 378,311.40 and 185,361.96 is: 277,777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,448.17 : 378,311.40 = 185,361.96 : x
  2. Step 2: Convert to fraction form
    252,448.17/378,311.40 = 185,361.96/x
  3. Step 3: Cross multiply
    252,448.17x = 378,311.40 × 185,361.96
  4. Step 4: Simplify right side
    252,448.17x = 70,124,542,594.34
  5. Step 5: Solve for x
    x = 70,124,542,594.34/252,448.17
  6. Step 6: Final answer
    x = 277,777.98

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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.