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Finding the Fourth Proportional to 311,026.56, 466,534.26 and 100,664.70

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Solution

The fourth proportional to 311,026.56, 466,534.26 and 100,664.70 is: 150,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,026.56 : 466,534.26 = 100,664.70 : x
  2. Step 2: Convert to fraction form
    311,026.56/466,534.26 = 100,664.70/x
  3. Step 3: Cross multiply
    311,026.56x = 466,534.26 × 100,664.70
  4. Step 4: Simplify right side
    311,026.56x = 46,963,531,322.62
  5. Step 5: Solve for x
    x = 46,963,531,322.62/311,026.56
  6. Step 6: Final answer
    x = 150,995.24

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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.