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Finding the Fourth Proportional to 320,595.26, 442,093.83 and 213,182.78

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Solution

The fourth proportional to 320,595.26, 442,093.83 and 213,182.78 is: 293,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,595.26 : 442,093.83 = 213,182.78 : x
  2. Step 2: Convert to fraction form
    320,595.26/442,093.83 = 213,182.78/x
  3. Step 3: Cross multiply
    320,595.26x = 442,093.83 × 213,182.78
  4. Step 4: Simplify right side
    320,595.26x = 94,246,791,700.25
  5. Step 5: Solve for x
    x = 94,246,791,700.25/320,595.26
  6. Step 6: Final answer
    x = 293,974.38

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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.