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Finding the Fourth Proportional to 323,856.48, 446,932.44 and 180,622.56

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Solution

The fourth proportional to 323,856.48, 446,932.44 and 180,622.56 is: 249,264.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,856.48 : 446,932.44 = 180,622.56 : x
  2. Step 2: Convert to fraction form
    323,856.48/446,932.44 = 180,622.56/x
  3. Step 3: Cross multiply
    323,856.48x = 446,932.44 × 180,622.56
  4. Step 4: Simplify right side
    323,856.48x = 80,726,081,459.85
  5. Step 5: Solve for x
    x = 80,726,081,459.85/323,856.48
  6. Step 6: Final answer
    x = 249,264.99

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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.