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Finding the Fourth Proportional to 257,727.40, 356,004.48 and 214,846.96

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Solution

The fourth proportional to 257,727.40, 356,004.48 and 214,846.96 is: 296,772.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,727.40 : 356,004.48 = 214,846.96 : x
  2. Step 2: Convert to fraction form
    257,727.40/356,004.48 = 214,846.96/x
  3. Step 3: Cross multiply
    257,727.40x = 356,004.48 × 214,846.96
  4. Step 4: Simplify right side
    257,727.40x = 76,486,480,274.38
  5. Step 5: Solve for x
    x = 76,486,480,274.38/257,727.40
  6. Step 6: Final answer
    x = 296,772.79

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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.