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Finding the Fourth Proportional to 299,593.46, 413,436.72 and 163,627.46

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Solution

The fourth proportional to 299,593.46, 413,436.72 and 163,627.46 is: 225,804.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,593.46 : 413,436.72 = 163,627.46 : x
  2. Step 2: Convert to fraction form
    299,593.46/413,436.72 = 163,627.46/x
  3. Step 3: Cross multiply
    299,593.46x = 413,436.72 × 163,627.46
  4. Step 4: Simplify right side
    299,593.46x = 67,649,600,364.33
  5. Step 5: Solve for x
    x = 67,649,600,364.33/299,593.46
  6. Step 6: Final answer
    x = 225,804.66

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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.