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Finding the Fourth Proportional to 293,789, 405,552.84 and 198,424.87

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Solution

The fourth proportional to 293,789, 405,552.84 and 198,424.87 is: 273,910.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,789 : 405,552.84 = 198,424.87 : x
  2. Step 2: Convert to fraction form
    293,789/405,552.84 = 198,424.87/x
  3. Step 3: Cross multiply
    293,789x = 405,552.84 × 198,424.87
  4. Step 4: Simplify right side
    293,789x = 80,471,767,527.37
  5. Step 5: Solve for x
    x = 80,471,767,527.37/293,789
  6. Step 6: Final answer
    x = 273,910.08

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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.