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Finding the Fourth Proportional to 393,695.94, 590,082.95 and 150,377.48

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Solution

The fourth proportional to 393,695.94, 590,082.95 and 150,377.48 is: 225,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,695.94 : 590,082.95 = 150,377.48 : x
  2. Step 2: Convert to fraction form
    393,695.94/590,082.95 = 150,377.48/x
  3. Step 3: Cross multiply
    393,695.94x = 590,082.95 × 150,377.48
  4. Step 4: Simplify right side
    393,695.94x = 88,735,183,309.66
  5. Step 5: Solve for x
    x = 88,735,183,309.66/393,695.94
  6. Step 6: Final answer
    x = 225,390.14

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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.