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Finding the Fourth Proportional to 327,987.48, 492,050.24 and 185,900.82

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Solution

The fourth proportional to 327,987.48, 492,050.24 and 185,900.82 is: 278,890.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,987.48 : 492,050.24 = 185,900.82 : x
  2. Step 2: Convert to fraction form
    327,987.48/492,050.24 = 185,900.82/x
  3. Step 3: Cross multiply
    327,987.48x = 492,050.24 × 185,900.82
  4. Step 4: Simplify right side
    327,987.48x = 91,472,544,833.11
  5. Step 5: Solve for x
    x = 91,472,544,833.11/327,987.48
  6. Step 6: Final answer
    x = 278,890.36

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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.