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Finding the Fourth Proportional to 307,678.24, 424,617.30 and 171,738.72

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Solution

The fourth proportional to 307,678.24, 424,617.30 and 171,738.72 is: 237,011.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,678.24 : 424,617.30 = 171,738.72 : x
  2. Step 2: Convert to fraction form
    307,678.24/424,617.30 = 171,738.72/x
  3. Step 3: Cross multiply
    307,678.24x = 424,617.30 × 171,738.72
  4. Step 4: Simplify right side
    307,678.24x = 72,923,231,591.86
  5. Step 5: Solve for x
    x = 72,923,231,591.86/307,678.24
  6. Step 6: Final answer
    x = 237,011.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.