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Finding the Fourth Proportional to 299,511.92, 413,328.46 and 163,546.82

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Solution

The fourth proportional to 299,511.92, 413,328.46 and 163,546.82 is: 225,695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,511.92 : 413,328.46 = 163,546.82 : x
  2. Step 2: Convert to fraction form
    299,511.92/413,328.46 = 163,546.82/x
  3. Step 3: Cross multiply
    299,511.92x = 413,328.46 × 163,546.82
  4. Step 4: Simplify right side
    299,511.92x = 67,598,555,248.50
  5. Step 5: Solve for x
    x = 67,598,555,248.50/299,511.92
  6. Step 6: Final answer
    x = 225,695.71

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1.5x scale

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.