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Finding the Fourth Proportional to 297,611.64, 410,705.37 and 161,646.66

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Solution

The fourth proportional to 297,611.64, 410,705.37 and 161,646.66 is: 223,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,611.64 : 410,705.37 = 161,646.66 : x
  2. Step 2: Convert to fraction form
    297,611.64/410,705.37 = 161,646.66/x
  3. Step 3: Cross multiply
    297,611.64x = 410,705.37 × 161,646.66
  4. Step 4: Simplify right side
    297,611.64x = 66,389,151,304.56
  5. Step 5: Solve for x
    x = 66,389,151,304.56/297,611.64
  6. Step 6: Final answer
    x = 223,073.10

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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.