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Finding the Fourth Proportional to 297,695.58, 410,818.20 and 161,728.44

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Solution

The fourth proportional to 297,695.58, 410,818.20 and 161,728.44 is: 223,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,695.58 : 410,818.20 = 161,728.44 : x
  2. Step 2: Convert to fraction form
    297,695.58/410,818.20 = 161,728.44/x
  3. Step 3: Cross multiply
    297,695.58x = 410,818.20 × 161,728.44
  4. Step 4: Simplify right side
    297,695.58x = 66,440,986,609.61
  5. Step 5: Solve for x
    x = 66,440,986,609.61/297,695.58
  6. Step 6: Final answer
    x = 223,184.32

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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.