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Finding the Fourth Proportional to 299,732.22, 413,625.60 and 163,763.24

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Solution

The fourth proportional to 299,732.22, 413,625.60 and 163,763.24 is: 225,990.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,732.22 : 413,625.60 = 163,763.24 : x
  2. Step 2: Convert to fraction form
    299,732.22/413,625.60 = 163,763.24/x
  3. Step 3: Cross multiply
    299,732.22x = 413,625.60 × 163,763.24
  4. Step 4: Simplify right side
    299,732.22x = 67,736,666,334.82
  5. Step 5: Solve for x
    x = 67,736,666,334.82/299,732.22
  6. Step 6: Final answer
    x = 225,990.61

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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.