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Finding the Fourth Proportional to 538,150.20, 805,670.10 and 328,198.20

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Solution

The fourth proportional to 538,150.20, 805,670.10 and 328,198.20 is: 491,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,150.20 : 805,670.10 = 328,198.20 : x
  2. Step 2: Convert to fraction form
    538,150.20/805,670.10 = 328,198.20/x
  3. Step 3: Cross multiply
    538,150.20x = 805,670.10 × 328,198.20
  4. Step 4: Simplify right side
    538,150.20x = 264,419,476,613.82
  5. Step 5: Solve for x
    x = 264,419,476,613.82/538,150.20
  6. Step 6: Final answer
    x = 491,348.84

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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.