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Finding the Fourth Proportional to 397,098.02, 548,043.10 and 227,328.50

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Solution

The fourth proportional to 397,098.02, 548,043.10 and 227,328.50 is: 313,740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,098.02 : 548,043.10 = 227,328.50 : x
  2. Step 2: Convert to fraction form
    397,098.02/548,043.10 = 227,328.50/x
  3. Step 3: Cross multiply
    397,098.02x = 548,043.10 × 227,328.50
  4. Step 4: Simplify right side
    397,098.02x = 124,585,815,858.35
  5. Step 5: Solve for x
    x = 124,585,815,858.35/397,098.02
  6. Step 6: Final answer
    x = 313,740.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.