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Finding the Fourth Proportional to 394,498, 590,965.08 and 183,846.16

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Solution

The fourth proportional to 394,498, 590,965.08 and 183,846.16 is: 275,404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,498 : 590,965.08 = 183,846.16 : x
  2. Step 2: Convert to fraction form
    394,498/590,965.08 = 183,846.16/x
  3. Step 3: Cross multiply
    394,498x = 590,965.08 × 183,846.16
  4. Step 4: Simplify right side
    394,498x = 108,646,660,652.09
  5. Step 5: Solve for x
    x = 108,646,660,652.09/394,498
  6. Step 6: Final answer
    x = 275,404.85

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1.5x scale

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.