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Finding the Fourth Proportional to 432,012.20, 648,018.30 and 412,329.20

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Solution

The fourth proportional to 432,012.20, 648,018.30 and 412,329.20 is: 618,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,012.20 : 648,018.30 = 412,329.20 : x
  2. Step 2: Convert to fraction form
    432,012.20/648,018.30 = 412,329.20/x
  3. Step 3: Cross multiply
    432,012.20x = 648,018.30 × 412,329.20
  4. Step 4: Simplify right side
    432,012.20x = 267,196,867,224.36
  5. Step 5: Solve for x
    x = 267,196,867,224.36/432,012.20
  6. Step 6: Final answer
    x = 618,493.80

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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.