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Finding the Fourth Proportional to 429,293.66, 644,049.23 and 303,180.30

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Solution

The fourth proportional to 429,293.66, 644,049.23 and 303,180.30 is: 454,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,293.66 : 644,049.23 = 303,180.30 : x
  2. Step 2: Convert to fraction form
    429,293.66/644,049.23 = 303,180.30/x
  3. Step 3: Cross multiply
    429,293.66x = 644,049.23 × 303,180.30
  4. Step 4: Simplify right side
    429,293.66x = 195,263,037,250.27
  5. Step 5: Solve for x
    x = 195,263,037,250.27/429,293.66
  6. Step 6: Final answer
    x = 454,847.25

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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.