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Finding the Fourth Proportional to 311,722.24, 467,790.48 and 114,730.24

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Solution

The fourth proportional to 311,722.24, 467,790.48 and 114,730.24 is: 172,171.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,722.24 : 467,790.48 = 114,730.24 : x
  2. Step 2: Convert to fraction form
    311,722.24/467,790.48 = 114,730.24/x
  3. Step 3: Cross multiply
    311,722.24x = 467,790.48 × 114,730.24
  4. Step 4: Simplify right side
    311,722.24x = 53,669,714,040.12
  5. Step 5: Solve for x
    x = 53,669,714,040.12/311,722.24
  6. Step 6: Final answer
    x = 172,171.59

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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.