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Finding the Fourth Proportional to 299,912.92, 413,878.90 and 163,946.92

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Solution

The fourth proportional to 299,912.92, 413,878.90 and 163,946.92 is: 226,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,912.92 : 413,878.90 = 163,946.92 : x
  2. Step 2: Convert to fraction form
    299,912.92/413,878.90 = 163,946.92/x
  3. Step 3: Cross multiply
    299,912.92x = 413,878.90 × 163,946.92
  4. Step 4: Simplify right side
    299,912.92x = 67,854,170,907.99
  5. Step 5: Solve for x
    x = 67,854,170,907.99/299,912.92
  6. Step 6: Final answer
    x = 226,246.24

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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.