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Finding the Fourth Proportional to 491,824.90, 737,737.35 and 305,200.90

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Solution

The fourth proportional to 491,824.90, 737,737.35 and 305,200.90 is: 457,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,824.90 : 737,737.35 = 305,200.90 : x
  2. Step 2: Convert to fraction form
    491,824.90/737,737.35 = 305,200.90/x
  3. Step 3: Cross multiply
    491,824.90x = 737,737.35 × 305,200.90
  4. Step 4: Simplify right side
    491,824.90x = 225,158,103,183.62
  5. Step 5: Solve for x
    x = 225,158,103,183.62/491,824.90
  6. Step 6: Final answer
    x = 457,801.35

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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.