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Finding the Fourth Proportional to 496,131, 684,660.78 and 269,778.12

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Solution

The fourth proportional to 496,131, 684,660.78 and 269,778.12 is: 372,293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,131 : 684,660.78 = 269,778.12 : x
  2. Step 2: Convert to fraction form
    496,131/684,660.78 = 269,778.12/x
  3. Step 3: Cross multiply
    496,131x = 684,660.78 × 269,778.12
  4. Step 4: Simplify right side
    496,131x = 184,706,498,066.13
  5. Step 5: Solve for x
    x = 184,706,498,066.13/496,131
  6. Step 6: Final answer
    x = 372,293.81

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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.