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Finding the Fourth Proportional to 417,647.53, 576,270.22 and 254,194.56

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Solution

The fourth proportional to 417,647.53, 576,270.22 and 254,194.56 is: 350,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,647.53 : 576,270.22 = 254,194.56 : x
  2. Step 2: Convert to fraction form
    417,647.53/576,270.22 = 254,194.56/x
  3. Step 3: Cross multiply
    417,647.53x = 576,270.22 × 254,194.56
  4. Step 4: Simplify right side
    417,647.53x = 146,484,755,014.00
  5. Step 5: Solve for x
    x = 146,484,755,014.00/417,647.53
  6. Step 6: Final answer
    x = 350,737.75

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Why These Related Problems?

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