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Finding the Fourth Proportional to 317,153.86, 474,797.66 and 211,711.30

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Solution

The fourth proportional to 317,153.86, 474,797.66 and 211,711.30 is: 316,944.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,153.86 : 474,797.66 = 211,711.30 : x
  2. Step 2: Convert to fraction form
    317,153.86/474,797.66 = 211,711.30/x
  3. Step 3: Cross multiply
    317,153.86x = 474,797.66 × 211,711.30
  4. Step 4: Simplify right side
    317,153.86x = 100,520,029,835.56
  5. Step 5: Solve for x
    x = 100,520,029,835.56/317,153.86
  6. Step 6: Final answer
    x = 316,944.05

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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.