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Finding the Fourth Proportional to 467,761.24, 645,462.29 and 345,318.74

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Solution

The fourth proportional to 467,761.24, 645,462.29 and 345,318.74 is: 476,504.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,761.24 : 645,462.29 = 345,318.74 : x
  2. Step 2: Convert to fraction form
    467,761.24/645,462.29 = 345,318.74/x
  3. Step 3: Cross multiply
    467,761.24x = 645,462.29 × 345,318.74
  4. Step 4: Simplify right side
    467,761.24x = 222,890,222,336.30
  5. Step 5: Solve for x
    x = 222,890,222,336.30/467,761.24
  6. Step 6: Final answer
    x = 476,504.26

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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.