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Finding the Fourth Proportional to 296,993.32, 444,425.78 and 257,149.76

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Solution

The fourth proportional to 296,993.32, 444,425.78 and 257,149.76 is: 384,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,993.32 : 444,425.78 = 257,149.76 : x
  2. Step 2: Convert to fraction form
    296,993.32/444,425.78 = 257,149.76/x
  3. Step 3: Cross multiply
    296,993.32x = 444,425.78 × 257,149.76
  4. Step 4: Simplify right side
    296,993.32x = 114,283,982,664.81
  5. Step 5: Solve for x
    x = 114,283,982,664.81/296,993.32
  6. Step 6: Final answer
    x = 384,803.21

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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.