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Finding the Fourth Proportional to 355,232.16, 490,229.82 and 194,085.90

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Solution

The fourth proportional to 355,232.16, 490,229.82 and 194,085.90 is: 267,843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,232.16 : 490,229.82 = 194,085.90 : x
  2. Step 2: Convert to fraction form
    355,232.16/490,229.82 = 194,085.90/x
  3. Step 3: Cross multiply
    355,232.16x = 490,229.82 × 194,085.90
  4. Step 4: Simplify right side
    355,232.16x = 95,146,695,821.54
  5. Step 5: Solve for x
    x = 95,146,695,821.54/355,232.16
  6. Step 6: Final answer
    x = 267,843.70

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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.