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Finding the Fourth Proportional to 432,367.34, 648,385.76 and 207,665.24

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Solution

The fourth proportional to 432,367.34, 648,385.76 and 207,665.24 is: 311,418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,367.34 : 648,385.76 = 207,665.24 : x
  2. Step 2: Convert to fraction form
    432,367.34/648,385.76 = 207,665.24/x
  3. Step 3: Cross multiply
    432,367.34x = 648,385.76 × 207,665.24
  4. Step 4: Simplify right side
    432,367.34x = 134,647,181,740.22
  5. Step 5: Solve for x
    x = 134,647,181,740.22/432,367.34
  6. Step 6: Final answer
    x = 311,418.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.