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Finding the Fourth Proportional to 416,559.43, 624,709.99 and 150,285.34

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Solution

The fourth proportional to 416,559.43, 624,709.99 and 150,285.34 is: 225,381.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,559.43 : 624,709.99 = 150,285.34 : x
  2. Step 2: Convert to fraction form
    416,559.43/624,709.99 = 150,285.34/x
  3. Step 3: Cross multiply
    416,559.43x = 624,709.99 × 150,285.34
  4. Step 4: Simplify right side
    416,559.43x = 93,884,753,248.55
  5. Step 5: Solve for x
    x = 93,884,753,248.55/416,559.43
  6. Step 6: Final answer
    x = 225,381.41

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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.