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Finding the Fourth Proportional to 323,598.71, 446,568.30 and 180,367.85

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Solution

The fourth proportional to 323,598.71, 446,568.30 and 180,367.85 is: 248,908.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,598.71 : 446,568.30 = 180,367.85 : x
  2. Step 2: Convert to fraction form
    323,598.71/446,568.30 = 180,367.85/x
  3. Step 3: Cross multiply
    323,598.71x = 446,568.30 × 180,367.85
  4. Step 4: Simplify right side
    323,598.71x = 80,546,561,916.31
  5. Step 5: Solve for x
    x = 80,546,561,916.31/323,598.71
  6. Step 6: Final answer
    x = 248,908.79

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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.