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Finding the Fourth Proportional to 412,145.10, 618,217.65 and 383,276.70

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Solution

The fourth proportional to 412,145.10, 618,217.65 and 383,276.70 is: 574,915.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,145.10 : 618,217.65 = 383,276.70 : x
  2. Step 2: Convert to fraction form
    412,145.10/618,217.65 = 383,276.70/x
  3. Step 3: Cross multiply
    412,145.10x = 618,217.65 × 383,276.70
  4. Step 4: Simplify right side
    412,145.10x = 236,948,420,773.76
  5. Step 5: Solve for x
    x = 236,948,420,773.76/412,145.10
  6. Step 6: Final answer
    x = 574,915.05

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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.