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Finding the Fourth Proportional to 466,533.28, 699,910.97 and 150,990.19

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Solution

The fourth proportional to 466,533.28, 699,910.97 and 150,990.19 is: 226,521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,533.28 : 699,910.97 = 150,990.19 : x
  2. Step 2: Convert to fraction form
    466,533.28/699,910.97 = 150,990.19/x
  3. Step 3: Cross multiply
    466,533.28x = 699,910.97 × 150,990.19
  4. Step 4: Simplify right side
    466,533.28x = 105,679,686,843.83
  5. Step 5: Solve for x
    x = 105,679,686,843.83/466,533.28
  6. Step 6: Final answer
    x = 226,521.22

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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.