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Finding the Fourth Proportional to 264,471.20, 396,050.70 and 211,983.20

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Solution

The fourth proportional to 264,471.20, 396,050.70 and 211,983.20 is: 317,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,471.20 : 396,050.70 = 211,983.20 : x
  2. Step 2: Convert to fraction form
    264,471.20/396,050.70 = 211,983.20/x
  3. Step 3: Cross multiply
    264,471.20x = 396,050.70 × 211,983.20
  4. Step 4: Simplify right side
    264,471.20x = 83,956,094,748.24
  5. Step 5: Solve for x
    x = 83,956,094,748.24/264,471.20
  6. Step 6: Final answer
    x = 317,448.91

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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.