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Finding the Fourth Proportional to 378,278.91, 522,028.40 and 208,519.11

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Solution

The fourth proportional to 378,278.91, 522,028.40 and 208,519.11 is: 287,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,278.91 : 522,028.40 = 208,519.11 : x
  2. Step 2: Convert to fraction form
    378,278.91/522,028.40 = 208,519.11/x
  3. Step 3: Cross multiply
    378,278.91x = 522,028.40 × 208,519.11
  4. Step 4: Simplify right side
    378,278.91x = 108,852,896,320.13
  5. Step 5: Solve for x
    x = 108,852,896,320.13/378,278.91
  6. Step 6: Final answer
    x = 287,758.30

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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.