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Finding the Fourth Proportional to 313,141.40, 469,512.30 and 206,402.12

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Solution

The fourth proportional to 313,141.40, 469,512.30 and 206,402.12 is: 309,471.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,141.40 : 469,512.30 = 206,402.12 : x
  2. Step 2: Convert to fraction form
    313,141.40/469,512.30 = 206,402.12/x
  3. Step 3: Cross multiply
    313,141.40x = 469,512.30 × 206,402.12
  4. Step 4: Simplify right side
    313,141.40x = 96,908,334,086.08
  5. Step 5: Solve for x
    x = 96,908,334,086.08/313,141.40
  6. Step 6: Final answer
    x = 309,471.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.