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Finding the Fourth Proportional to 432,682.67, 649,256.37 and 180,137.48

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Solution

The fourth proportional to 432,682.67, 649,256.37 and 180,137.48 is: 270,302.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,682.67 : 649,256.37 = 180,137.48 : x
  2. Step 2: Convert to fraction form
    432,682.67/649,256.37 = 180,137.48/x
  3. Step 3: Cross multiply
    432,682.67x = 649,256.37 × 180,137.48
  4. Step 4: Simplify right side
    432,682.67x = 116,955,403,119.47
  5. Step 5: Solve for x
    x = 116,955,403,119.47/432,682.67
  6. Step 6: Final answer
    x = 270,302.96

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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.