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Finding the Fourth Proportional to 416,580.40, 624,872.94 and 101,037.52

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Solution

The fourth proportional to 416,580.40, 624,872.94 and 101,037.52 is: 151,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,580.40 : 624,872.94 = 101,037.52 : x
  2. Step 2: Convert to fraction form
    416,580.40/624,872.94 = 101,037.52/x
  3. Step 3: Cross multiply
    416,580.40x = 624,872.94 × 101,037.52
  4. Step 4: Simplify right side
    416,580.40x = 63,135,612,172.71
  5. Step 5: Solve for x
    x = 63,135,612,172.71/416,580.40
  6. Step 6: Final answer
    x = 151,556.85

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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.