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Finding the Fourth Proportional to 297,613.16, 410,709.14 and 161,649.76

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Solution

The fourth proportional to 297,613.16, 410,709.14 and 161,649.76 is: 223,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,613.16 : 410,709.14 = 161,649.76 : x
  2. Step 2: Convert to fraction form
    297,613.16/410,709.14 = 161,649.76/x
  3. Step 3: Cross multiply
    297,613.16x = 410,709.14 × 161,649.76
  4. Step 4: Simplify right side
    297,613.16x = 66,391,033,910.81
  5. Step 5: Solve for x
    x = 66,391,033,910.81/297,613.16
  6. Step 6: Final answer
    x = 223,078.29

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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.