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Finding the Fourth Proportional to 541,846.68, 812,771.94 and 182,007.24

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Solution

The fourth proportional to 541,846.68, 812,771.94 and 182,007.24 is: 273,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,846.68 : 812,771.94 = 182,007.24 : x
  2. Step 2: Convert to fraction form
    541,846.68/812,771.94 = 182,007.24/x
  3. Step 3: Cross multiply
    541,846.68x = 812,771.94 × 182,007.24
  4. Step 4: Simplify right side
    541,846.68x = 147,930,376,957.50
  5. Step 5: Solve for x
    x = 147,930,376,957.50/541,846.68
  6. Step 6: Final answer
    x = 273,011.50

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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.