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Finding the Fourth Proportional to 461,124.62, 691,922.15 and 311,050.40

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Solution

The fourth proportional to 461,124.62, 691,922.15 and 311,050.40 is: 466,734.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,124.62 : 691,922.15 = 311,050.40 : x
  2. Step 2: Convert to fraction form
    461,124.62/691,922.15 = 311,050.40/x
  3. Step 3: Cross multiply
    461,124.62x = 691,922.15 × 311,050.40
  4. Step 4: Simplify right side
    461,124.62x = 215,222,663,516.03
  5. Step 5: Solve for x
    x = 215,222,663,516.03/461,124.62
  6. Step 6: Final answer
    x = 466,734.27

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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.