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Finding the Fourth Proportional to 416,039.64, 624,059.46 and 100,496.55

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Solution

The fourth proportional to 416,039.64, 624,059.46 and 100,496.55 is: 150,744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,039.64 : 624,059.46 = 100,496.55 : x
  2. Step 2: Convert to fraction form
    416,039.64/624,059.46 = 100,496.55/x
  3. Step 3: Cross multiply
    416,039.64x = 624,059.46 × 100,496.55
  4. Step 4: Simplify right side
    416,039.64x = 62,715,819,353.32
  5. Step 5: Solve for x
    x = 62,715,819,353.32/416,039.64
  6. Step 6: Final answer
    x = 150,744.82

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1.5x scale

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.