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Finding the Fourth Proportional to 453,743.64, 680,194.87 and 200,889.38

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Solution

The fourth proportional to 453,743.64, 680,194.87 and 200,889.38 is: 301,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,743.64 : 680,194.87 = 200,889.38 : x
  2. Step 2: Convert to fraction form
    453,743.64/680,194.87 = 200,889.38/x
  3. Step 3: Cross multiply
    453,743.64x = 680,194.87 × 200,889.38
  4. Step 4: Simplify right side
    453,743.64x = 136,643,926,911.74
  5. Step 5: Solve for x
    x = 136,643,926,911.74/453,743.64
  6. Step 6: Final answer
    x = 301,147.86

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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.