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Finding the Fourth Proportional to 377,695.70, 566,336.49 and 149,760.48

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Solution

The fourth proportional to 377,695.70, 566,336.49 and 149,760.48 is: 224,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,695.70 : 566,336.49 = 149,760.48 : x
  2. Step 2: Convert to fraction form
    377,695.70/566,336.49 = 149,760.48/x
  3. Step 3: Cross multiply
    377,695.70x = 566,336.49 × 149,760.48
  4. Step 4: Simplify right side
    377,695.70x = 84,814,824,583.92
  5. Step 5: Solve for x
    x = 84,814,824,583.92/377,695.70
  6. Step 6: Final answer
    x = 224,558.62

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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.