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Finding the Fourth Proportional to 273,805.30, 410,284.61 and 213,691.24

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Solution

The fourth proportional to 273,805.30, 410,284.61 and 213,691.24 is: 320,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,805.30 : 410,284.61 = 213,691.24 : x
  2. Step 2: Convert to fraction form
    273,805.30/410,284.61 = 213,691.24/x
  3. Step 3: Cross multiply
    273,805.30x = 410,284.61 × 213,691.24
  4. Step 4: Simplify right side
    273,805.30x = 87,674,223,943.94
  5. Step 5: Solve for x
    x = 87,674,223,943.94/273,805.30
  6. Step 6: Final answer
    x = 320,206.46

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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.