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Finding the Fourth Proportional to 299,577.31, 413,414.59 and 163,611.30

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Solution

The fourth proportional to 299,577.31, 413,414.59 and 163,611.30 is: 225,782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,577.31 : 413,414.59 = 163,611.30 : x
  2. Step 2: Convert to fraction form
    299,577.31/413,414.59 = 163,611.30/x
  3. Step 3: Cross multiply
    299,577.31x = 413,414.59 × 163,611.30
  4. Step 4: Simplify right side
    299,577.31x = 67,639,295,623.74
  5. Step 5: Solve for x
    x = 67,639,295,623.74/299,577.31
  6. Step 6: Final answer
    x = 225,782.44

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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.