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Finding the Fourth Proportional to 408,830.10, 613,245.15 and 231,683.10

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Solution

The fourth proportional to 408,830.10, 613,245.15 and 231,683.10 is: 347,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,830.10 : 613,245.15 = 231,683.10 : x
  2. Step 2: Convert to fraction form
    408,830.10/613,245.15 = 231,683.10/x
  3. Step 3: Cross multiply
    408,830.10x = 613,245.15 × 231,683.10
  4. Step 4: Simplify right side
    408,830.10x = 142,078,537,411.97
  5. Step 5: Solve for x
    x = 142,078,537,411.97/408,830.10
  6. Step 6: Final answer
    x = 347,524.65

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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.