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Finding the Fourth Proportional to 538,422.08, 743,027.38 and 296,713.32

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Solution

The fourth proportional to 538,422.08, 743,027.38 and 296,713.32 is: 409,467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,422.08 : 743,027.38 = 296,713.32 : x
  2. Step 2: Convert to fraction form
    538,422.08/743,027.38 = 296,713.32/x
  3. Step 3: Cross multiply
    538,422.08x = 743,027.38 × 296,713.32
  4. Step 4: Simplify right side
    538,422.08x = 220,466,120,028.92
  5. Step 5: Solve for x
    x = 220,466,120,028.92/538,422.08
  6. Step 6: Final answer
    x = 409,467.09

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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.