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Finding the Fourth Proportional to 299,813.47, 413,743.67 and 163,847.48

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Solution

The fourth proportional to 299,813.47, 413,743.67 and 163,847.48 is: 226,110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,813.47 : 413,743.67 = 163,847.48 : x
  2. Step 2: Convert to fraction form
    299,813.47/413,743.67 = 163,847.48/x
  3. Step 3: Cross multiply
    299,813.47x = 413,743.67 × 163,847.48
  4. Step 4: Simplify right side
    299,813.47x = 67,790,857,695.45
  5. Step 5: Solve for x
    x = 67,790,857,695.45/299,813.47
  6. Step 6: Final answer
    x = 226,110.11

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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.