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Finding the Fourth Proportional to 416,825.82, 625,236.84 and 101,283.57

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Solution

The fourth proportional to 416,825.82, 625,236.84 and 101,283.57 is: 151,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,825.82 : 625,236.84 = 101,283.57 : x
  2. Step 2: Convert to fraction form
    416,825.82/625,236.84 = 101,283.57/x
  3. Step 3: Cross multiply
    416,825.82x = 625,236.84 × 101,283.57
  4. Step 4: Simplify right side
    416,825.82x = 63,326,219,250.72
  5. Step 5: Solve for x
    x = 63,326,219,250.72/416,825.82
  6. Step 6: Final answer
    x = 151,924.90

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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.