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Finding the Fourth Proportional to 399,062, 598,691.64 and 118,578.08

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Solution

The fourth proportional to 399,062, 598,691.64 and 118,578.08 is: 177,896.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,062 : 598,691.64 = 118,578.08 : x
  2. Step 2: Convert to fraction form
    399,062/598,691.64 = 118,578.08/x
  3. Step 3: Cross multiply
    399,062x = 598,691.64 × 118,578.08
  4. Step 4: Simplify right side
    399,062x = 70,991,705,183.25
  5. Step 5: Solve for x
    x = 70,991,705,183.25/399,062
  6. Step 6: Final answer
    x = 177,896.43

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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.