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Finding the Fourth Proportional to 497,406.06, 746,197.74 and 231,466.86

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Solution

The fourth proportional to 497,406.06, 746,197.74 and 231,466.86 is: 347,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,406.06 : 746,197.74 = 231,466.86 : x
  2. Step 2: Convert to fraction form
    497,406.06/746,197.74 = 231,466.86/x
  3. Step 3: Cross multiply
    497,406.06x = 746,197.74 × 231,466.86
  4. Step 4: Simplify right side
    497,406.06x = 172,720,047,816.90
  5. Step 5: Solve for x
    x = 172,720,047,816.90/497,406.06
  6. Step 6: Final answer
    x = 347,241.54

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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.