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Finding the Fourth Proportional to 541,686.52, 812,086.46 and 204,535.87

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Solution

The fourth proportional to 541,686.52, 812,086.46 and 204,535.87 is: 306,636.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,686.52 : 812,086.46 = 204,535.87 : x
  2. Step 2: Convert to fraction form
    541,686.52/812,086.46 = 204,535.87/x
  3. Step 3: Cross multiply
    541,686.52x = 812,086.46 × 204,535.87
  4. Step 4: Simplify right side
    541,686.52x = 166,100,808,325.43
  5. Step 5: Solve for x
    x = 166,100,808,325.43/541,686.52
  6. Step 6: Final answer
    x = 306,636.41

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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.