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Finding the Fourth Proportional to 299,800.63, 413,725.95 and 163,834.60

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Solution

The fourth proportional to 299,800.63, 413,725.95 and 163,834.60 is: 226,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,800.63 : 413,725.95 = 163,834.60 : x
  2. Step 2: Convert to fraction form
    299,800.63/413,725.95 = 163,834.60/x
  3. Step 3: Cross multiply
    299,800.63x = 413,725.95 × 163,834.60
  4. Step 4: Simplify right side
    299,800.63x = 67,782,623,879.18
  5. Step 5: Solve for x
    x = 67,782,623,879.18/299,800.63
  6. Step 6: Final answer
    x = 226,092.33

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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.