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Finding the Fourth Proportional to 273,805.82, 410,285.40 and 213,691.77

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Solution

The fourth proportional to 273,805.82, 410,285.40 and 213,691.77 is: 320,207.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,805.82 : 410,285.40 = 213,691.77 : x
  2. Step 2: Convert to fraction form
    273,805.82/410,285.40 = 213,691.77/x
  3. Step 3: Cross multiply
    273,805.82x = 410,285.40 × 213,691.77
  4. Step 4: Simplify right side
    273,805.82x = 87,674,613,731.83
  5. Step 5: Solve for x
    x = 87,674,613,731.83/273,805.82
  6. Step 6: Final answer
    x = 320,207.27

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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.