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Finding the Fourth Proportional to 392,193.84, 541,224 and 222,429.18

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Solution

The fourth proportional to 392,193.84, 541,224 and 222,429.18 is: 306,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,193.84 : 541,224 = 222,429.18 : x
  2. Step 2: Convert to fraction form
    392,193.84/541,224 = 222,429.18/x
  3. Step 3: Cross multiply
    392,193.84x = 541,224 × 222,429.18
  4. Step 4: Simplify right side
    392,193.84x = 120,384,010,516.32
  5. Step 5: Solve for x
    x = 120,384,010,516.32/392,193.84
  6. Step 6: Final answer
    x = 306,950.28

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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.