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Finding the Fourth Proportional to 296,414.92, 409,014.50 and 169,082.92

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Solution

The fourth proportional to 296,414.92, 409,014.50 and 169,082.92 is: 233,312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,414.92 : 409,014.50 = 169,082.92 : x
  2. Step 2: Convert to fraction form
    296,414.92/409,014.50 = 169,082.92/x
  3. Step 3: Cross multiply
    296,414.92x = 409,014.50 × 169,082.92
  4. Step 4: Simplify right side
    296,414.92x = 69,157,365,982.34
  5. Step 5: Solve for x
    x = 69,157,365,982.34/296,414.92
  6. Step 6: Final answer
    x = 233,312.70

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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.