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Finding the Fourth Proportional to 408,916.40, 613,374.60 and 128,433.20

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Solution

The fourth proportional to 408,916.40, 613,374.60 and 128,433.20 is: 192,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,916.40 : 613,374.60 = 128,433.20 : x
  2. Step 2: Convert to fraction form
    408,916.40/613,374.60 = 128,433.20/x
  3. Step 3: Cross multiply
    408,916.40x = 613,374.60 × 128,433.20
  4. Step 4: Simplify right side
    408,916.40x = 78,777,662,676.72
  5. Step 5: Solve for x
    x = 78,777,662,676.72/408,916.40
  6. Step 6: Final answer
    x = 192,649.80

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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.