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Finding the Fourth Proportional to 522,311.92, 783,468.14 and 344,777.43

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Solution

The fourth proportional to 522,311.92, 783,468.14 and 344,777.43 is: 517,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,311.92 : 783,468.14 = 344,777.43 : x
  2. Step 2: Convert to fraction form
    522,311.92/783,468.14 = 344,777.43/x
  3. Step 3: Cross multiply
    522,311.92x = 783,468.14 × 344,777.43
  4. Step 4: Simplify right side
    522,311.92x = 270,122,133,010.20
  5. Step 5: Solve for x
    x = 270,122,133,010.20/522,311.92
  6. Step 6: Final answer
    x = 517,166.32

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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.