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Finding the Fourth Proportional to 467,796.56, 645,854.44 and 324,506.48

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Solution

The fourth proportional to 467,796.56, 645,854.44 and 324,506.48 is: 448,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,796.56 : 645,854.44 = 324,506.48 : x
  2. Step 2: Convert to fraction form
    467,796.56/645,854.44 = 324,506.48/x
  3. Step 3: Cross multiply
    467,796.56x = 645,854.44 × 324,506.48
  4. Step 4: Simplify right side
    467,796.56x = 209,583,950,916.77
  5. Step 5: Solve for x
    x = 209,583,950,916.77/467,796.56
  6. Step 6: Final answer
    x = 448,023.71

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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.