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Finding the Fourth Proportional to 432,546.24, 648,451.31 and 264,184.68

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Solution

The fourth proportional to 432,546.24, 648,451.31 and 264,184.68 is: 396,052.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,546.24 : 648,451.31 = 264,184.68 : x
  2. Step 2: Convert to fraction form
    432,546.24/648,451.31 = 264,184.68/x
  3. Step 3: Cross multiply
    432,546.24x = 648,451.31 × 264,184.68
  4. Step 4: Simplify right side
    432,546.24x = 171,310,899,493.81
  5. Step 5: Solve for x
    x = 171,310,899,493.81/432,546.24
  6. Step 6: Final answer
    x = 396,052.22

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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.