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Finding the Fourth Proportional to 523,147.17, 721,893.22 and 293,651.90

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Solution

The fourth proportional to 523,147.17, 721,893.22 and 293,651.90 is: 405,211.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,147.17 : 721,893.22 = 293,651.90 : x
  2. Step 2: Convert to fraction form
    523,147.17/721,893.22 = 293,651.90/x
  3. Step 3: Cross multiply
    523,147.17x = 721,893.22 × 293,651.90
  4. Step 4: Simplify right side
    523,147.17x = 211,985,315,650.12
  5. Step 5: Solve for x
    x = 211,985,315,650.12/523,147.17
  6. Step 6: Final answer
    x = 405,211.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.