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Finding the Fourth Proportional to 541,689.82, 812,037.15 and 186,619.42

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Solution

The fourth proportional to 541,689.82, 812,037.15 and 186,619.42 is: 279,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,689.82 : 812,037.15 = 186,619.42 : x
  2. Step 2: Convert to fraction form
    541,689.82/812,037.15 = 186,619.42/x
  3. Step 3: Cross multiply
    541,689.82x = 812,037.15 × 186,619.42
  4. Step 4: Simplify right side
    541,689.82x = 151,541,901,951.45
  5. Step 5: Solve for x
    x = 151,541,901,951.45/541,689.82
  6. Step 6: Final answer
    x = 279,757.71

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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.