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Finding the Fourth Proportional to 299,543.52, 413,370.78 and 163,578.54

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Solution

The fourth proportional to 299,543.52, 413,370.78 and 163,578.54 is: 225,738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,543.52 : 413,370.78 = 163,578.54 : x
  2. Step 2: Convert to fraction form
    299,543.52/413,370.78 = 163,578.54/x
  3. Step 3: Cross multiply
    299,543.52x = 413,370.78 × 163,578.54
  4. Step 4: Simplify right side
    299,543.52x = 67,618,588,671.06
  5. Step 5: Solve for x
    x = 67,618,588,671.06/299,543.52
  6. Step 6: Final answer
    x = 225,738.78

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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.