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Finding the Fourth Proportional to 311,305.32, 467,026.20 and 100,964.52

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Solution

The fourth proportional to 311,305.32, 467,026.20 and 100,964.52 is: 151,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,305.32 : 467,026.20 = 100,964.52 : x
  2. Step 2: Convert to fraction form
    311,305.32/467,026.20 = 100,964.52/x
  3. Step 3: Cross multiply
    311,305.32x = 467,026.20 × 100,964.52
  4. Step 4: Simplify right side
    311,305.32x = 47,153,076,110.42
  5. Step 5: Solve for x
    x = 47,153,076,110.42/311,305.32
  6. Step 6: Final answer
    x = 151,468.91

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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.