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Finding the Fourth Proportional to 416,938, 625,398.24 and 101,396.56

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Solution

The fourth proportional to 416,938, 625,398.24 and 101,396.56 is: 152,092.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,938 : 625,398.24 = 101,396.56 : x
  2. Step 2: Convert to fraction form
    416,938/625,398.24 = 101,396.56/x
  3. Step 3: Cross multiply
    416,938x = 625,398.24 × 101,396.56
  4. Step 4: Simplify right side
    416,938x = 63,413,230,166.05
  5. Step 5: Solve for x
    x = 63,413,230,166.05/416,938
  6. Step 6: Final answer
    x = 152,092.71

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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.