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Finding the Fourth Proportional to 684,266.86, 1,026,049.83 and 364,600.90

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Solution

The fourth proportional to 684,266.86, 1,026,049.83 and 364,600.90 is: 546,714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,266.86 : 1,026,049.83 = 364,600.90 : x
  2. Step 2: Convert to fraction form
    684,266.86/1,026,049.83 = 364,600.90/x
  3. Step 3: Cross multiply
    684,266.86x = 1,026,049.83 × 364,600.90
  4. Step 4: Simplify right side
    684,266.86x = 374,098,691,462.85
  5. Step 5: Solve for x
    x = 374,098,691,462.85/684,266.86
  6. Step 6: Final answer
    x = 546,714.61

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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.