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Finding the Fourth Proportional to 355,295.50, 490,287.13 and 194,151.87

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Solution

The fourth proportional to 355,295.50, 490,287.13 and 194,151.87 is: 267,918.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,295.50 : 490,287.13 = 194,151.87 : x
  2. Step 2: Convert to fraction form
    355,295.50/490,287.13 = 194,151.87/x
  3. Step 3: Cross multiply
    355,295.50x = 490,287.13 × 194,151.87
  4. Step 4: Simplify right side
    355,295.50x = 95,190,162,641.05
  5. Step 5: Solve for x
    x = 95,190,162,641.05/355,295.50
  6. Step 6: Final answer
    x = 267,918.29

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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.