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Finding the Fourth Proportional to 647,227.08, 969,559.08 and 305,202.24

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Solution

The fourth proportional to 647,227.08, 969,559.08 and 305,202.24 is: 457,199.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,227.08 : 969,559.08 = 305,202.24 : x
  2. Step 2: Convert to fraction form
    647,227.08/969,559.08 = 305,202.24/x
  3. Step 3: Cross multiply
    647,227.08x = 969,559.08 × 305,202.24
  4. Step 4: Simplify right side
    647,227.08x = 295,911,603,028.34
  5. Step 5: Solve for x
    x = 295,911,603,028.34/647,227.08
  6. Step 6: Final answer
    x = 457,199.05

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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.