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Finding the Fourth Proportional to 363,032.44, 544,548.78 and 149,797.24

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Solution

The fourth proportional to 363,032.44, 544,548.78 and 149,797.24 is: 224,695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,032.44 : 544,548.78 = 149,797.24 : x
  2. Step 2: Convert to fraction form
    363,032.44/544,548.78 = 149,797.24/x
  3. Step 3: Cross multiply
    363,032.44x = 544,548.78 × 149,797.24
  4. Step 4: Simplify right side
    363,032.44x = 81,571,904,289.37
  5. Step 5: Solve for x
    x = 81,571,904,289.37/363,032.44
  6. Step 6: Final answer
    x = 224,695.91

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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.