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Finding the Fourth Proportional to 355,231.88, 490,214.28 and 194,083.48

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Solution

The fourth proportional to 355,231.88, 490,214.28 and 194,083.48 is: 267,832.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,231.88 : 490,214.28 = 194,083.48 : x
  2. Step 2: Convert to fraction form
    355,231.88/490,214.28 = 194,083.48/x
  3. Step 3: Cross multiply
    355,231.88x = 490,214.28 × 194,083.48
  4. Step 4: Simplify right side
    355,231.88x = 95,142,490,899.50
  5. Step 5: Solve for x
    x = 95,142,490,899.50/355,231.88
  6. Step 6: Final answer
    x = 267,832.07

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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.