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Finding the Fourth Proportional to 323,909.24, 485,863.86 and 166,037

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Solution

The fourth proportional to 323,909.24, 485,863.86 and 166,037 is: 249,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,909.24 : 485,863.86 = 166,037 : x
  2. Step 2: Convert to fraction form
    323,909.24/485,863.86 = 166,037/x
  3. Step 3: Cross multiply
    323,909.24x = 485,863.86 × 166,037
  4. Step 4: Simplify right side
    323,909.24x = 80,671,377,722.82
  5. Step 5: Solve for x
    x = 80,671,377,722.82/323,909.24
  6. Step 6: Final answer
    x = 249,055.50

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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.