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Finding the Fourth Proportional to 338,530.20, 466,959.24 and 217,828.32

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Solution

The fourth proportional to 338,530.20, 466,959.24 and 217,828.32 is: 300,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,530.20 : 466,959.24 = 217,828.32 : x
  2. Step 2: Convert to fraction form
    338,530.20/466,959.24 = 217,828.32/x
  3. Step 3: Cross multiply
    338,530.20x = 466,959.24 × 217,828.32
  4. Step 4: Simplify right side
    338,530.20x = 101,716,946,757.68
  5. Step 5: Solve for x
    x = 101,716,946,757.68/338,530.20
  6. Step 6: Final answer
    x = 300,466.39

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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.