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Finding the Fourth Proportional to 364,589.46, 547,076.21 and 187,096.48

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Solution

The fourth proportional to 364,589.46, 547,076.21 and 187,096.48 is: 280,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,589.46 : 547,076.21 = 187,096.48 : x
  2. Step 2: Convert to fraction form
    364,589.46/547,076.21 = 187,096.48/x
  3. Step 3: Cross multiply
    364,589.46x = 547,076.21 × 187,096.48
  4. Step 4: Simplify right side
    364,589.46x = 102,356,030,879.57
  5. Step 5: Solve for x
    x = 102,356,030,879.57/364,589.46
  6. Step 6: Final answer
    x = 280,743.25

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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.