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Finding the Fourth Proportional to 541,465.91, 811,311.11 and 383,410.61

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Solution

The fourth proportional to 541,465.91, 811,311.11 and 383,410.61 is: 574,487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,465.91 : 811,311.11 = 383,410.61 : x
  2. Step 2: Convert to fraction form
    541,465.91/811,311.11 = 383,410.61/x
  3. Step 3: Cross multiply
    541,465.91x = 811,311.11 × 383,410.61
  4. Step 4: Simplify right side
    541,465.91x = 311,065,285,667.82
  5. Step 5: Solve for x
    x = 311,065,285,667.82/541,465.91
  6. Step 6: Final answer
    x = 574,487.29

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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.