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Finding the Fourth Proportional to 496,311.21, 684,723.92 and 292,237.38

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Solution

The fourth proportional to 496,311.21, 684,723.92 and 292,237.38 is: 403,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,311.21 : 684,723.92 = 292,237.38 : x
  2. Step 2: Convert to fraction form
    496,311.21/684,723.92 = 292,237.38/x
  3. Step 3: Cross multiply
    496,311.21x = 684,723.92 × 292,237.38
  4. Step 4: Simplify right side
    496,311.21x = 200,101,922,942.94
  5. Step 5: Solve for x
    x = 200,101,922,942.94/496,311.21
  6. Step 6: Final answer
    x = 403,178.33

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1.5x scale

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.