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Finding the Fourth Proportional to 538,924.92, 743,706.56 and 297,229.96

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Solution

The fourth proportional to 538,924.92, 743,706.56 and 297,229.96 is: 410,171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,924.92 : 743,706.56 = 297,229.96 : x
  2. Step 2: Convert to fraction form
    538,924.92/743,706.56 = 297,229.96/x
  3. Step 3: Cross multiply
    538,924.92x = 743,706.56 × 297,229.96
  4. Step 4: Simplify right side
    538,924.92x = 221,051,871,080.54
  5. Step 5: Solve for x
    x = 221,051,871,080.54/538,924.92
  6. Step 6: Final answer
    x = 410,171.92

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Similar ratio
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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.