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Finding the Fourth Proportional to 313,504.64, 432,705.24 and 206,084.56

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Solution

The fourth proportional to 313,504.64, 432,705.24 and 206,084.56 is: 284,441.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,504.64 : 432,705.24 = 206,084.56 : x
  2. Step 2: Convert to fraction form
    313,504.64/432,705.24 = 206,084.56/x
  3. Step 3: Cross multiply
    313,504.64x = 432,705.24 × 206,084.56
  4. Step 4: Simplify right side
    313,504.64x = 89,173,868,995.09
  5. Step 5: Solve for x
    x = 89,173,868,995.09/313,504.64
  6. Step 6: Final answer
    x = 284,441.94

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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.