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Finding the Fourth Proportional to 399,296.26, 598,941.96 and 99,775.27

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Solution

The fourth proportional to 399,296.26, 598,941.96 and 99,775.27 is: 149,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,296.26 : 598,941.96 = 99,775.27 : x
  2. Step 2: Convert to fraction form
    399,296.26/598,941.96 = 99,775.27/x
  3. Step 3: Cross multiply
    399,296.26x = 598,941.96 × 99,775.27
  4. Step 4: Simplify right side
    399,296.26x = 59,759,595,773.33
  5. Step 5: Solve for x
    x = 59,759,595,773.33/399,296.26
  6. Step 6: Final answer
    x = 149,662.30

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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.