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Finding the Fourth Proportional to 541,187.18, 811,649.55 and 225,471.86

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Solution

The fourth proportional to 541,187.18, 811,649.55 and 225,471.86 is: 338,153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,187.18 : 811,649.55 = 225,471.86 : x
  2. Step 2: Convert to fraction form
    541,187.18/811,649.55 = 225,471.86/x
  3. Step 3: Cross multiply
    541,187.18x = 811,649.55 × 225,471.86
  4. Step 4: Simplify right side
    541,187.18x = 183,004,133,706.66
  5. Step 5: Solve for x
    x = 183,004,133,706.66/541,187.18
  6. Step 6: Final answer
    x = 338,153.12

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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.