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Finding the Fourth Proportional to 297,638.58, 410,745.66 and 161,675.18

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Solution

The fourth proportional to 297,638.58, 410,745.66 and 161,675.18 is: 223,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,638.58 : 410,745.66 = 161,675.18 : x
  2. Step 2: Convert to fraction form
    297,638.58/410,745.66 = 161,675.18/x
  3. Step 3: Cross multiply
    297,638.58x = 410,745.66 × 161,675.18
  4. Step 4: Simplify right side
    297,638.58x = 66,407,378,514.72
  5. Step 5: Solve for x
    x = 66,407,378,514.72/297,638.58
  6. Step 6: Final answer
    x = 223,114.15

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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.