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Finding the Fourth Proportional to 541,274.70, 812,106.45 and 225,828.30

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Solution

The fourth proportional to 541,274.70, 812,106.45 and 225,828.30 is: 338,823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,274.70 : 812,106.45 = 225,828.30 : x
  2. Step 2: Convert to fraction form
    541,274.70/812,106.45 = 225,828.30/x
  3. Step 3: Cross multiply
    541,274.70x = 812,106.45 × 225,828.30
  4. Step 4: Simplify right side
    541,274.70x = 183,396,619,022.54
  5. Step 5: Solve for x
    x = 183,396,619,022.54/541,274.70
  6. Step 6: Final answer
    x = 338,823.56

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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.