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Finding the Fourth Proportional to 296,763.12, 409,675.02 and 169,414.11

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Solution

The fourth proportional to 296,763.12, 409,675.02 and 169,414.11 is: 233,872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,763.12 : 409,675.02 = 169,414.11 : x
  2. Step 2: Convert to fraction form
    296,763.12/409,675.02 = 169,414.11/x
  3. Step 3: Cross multiply
    296,763.12x = 409,675.02 × 169,414.11
  4. Step 4: Simplify right side
    296,763.12x = 69,404,728,902.53
  5. Step 5: Solve for x
    x = 69,404,728,902.53/296,763.12
  6. Step 6: Final answer
    x = 233,872.49

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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.