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Finding the Fourth Proportional to 541,533.61, 812,375.75 and 225,917.92

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Solution

The fourth proportional to 541,533.61, 812,375.75 and 225,917.92 is: 338,908.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,533.61 : 812,375.75 = 225,917.92 : x
  2. Step 2: Convert to fraction form
    541,533.61/812,375.75 = 225,917.92/x
  3. Step 3: Cross multiply
    541,533.61x = 812,375.75 × 225,917.92
  4. Step 4: Simplify right side
    541,533.61x = 183,530,239,698.44
  5. Step 5: Solve for x
    x = 183,530,239,698.44/541,533.61
  6. Step 6: Final answer
    x = 338,908.31

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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.