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Finding the Fourth Proportional to 416,530.28, 624,803.10 and 150,310.76

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Solution

The fourth proportional to 416,530.28, 624,803.10 and 150,310.76 is: 225,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,530.28 : 624,803.10 = 150,310.76 : x
  2. Step 2: Convert to fraction form
    416,530.28/624,803.10 = 150,310.76/x
  3. Step 3: Cross multiply
    416,530.28x = 624,803.10 × 150,310.76
  4. Step 4: Simplify right side
    416,530.28x = 93,914,628,811.36
  5. Step 5: Solve for x
    x = 93,914,628,811.36/416,530.28
  6. Step 6: Final answer
    x = 225,468.91

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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.