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Finding the Fourth Proportional to 323,704.54, 446,712.87 and 180,461.71

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Solution

The fourth proportional to 323,704.54, 446,712.87 and 180,461.71 is: 249,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,704.54 : 446,712.87 = 180,461.71 : x
  2. Step 2: Convert to fraction form
    323,704.54/446,712.87 = 180,461.71/x
  3. Step 3: Cross multiply
    323,704.54x = 446,712.87 × 180,461.71
  4. Step 4: Simplify right side
    323,704.54x = 80,614,568,399.21
  5. Step 5: Solve for x
    x = 80,614,568,399.21/323,704.54
  6. Step 6: Final answer
    x = 249,037.50

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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.