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Finding the Fourth Proportional to 313,494.66, 432,801.96 and 206,376.09

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Solution

The fourth proportional to 313,494.66, 432,801.96 and 206,376.09 is: 284,917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,494.66 : 432,801.96 = 206,376.09 : x
  2. Step 2: Convert to fraction form
    313,494.66/432,801.96 = 206,376.09/x
  3. Step 3: Cross multiply
    313,494.66x = 432,801.96 × 206,376.09
  4. Step 4: Simplify right side
    313,494.66x = 89,319,975,013.08
  5. Step 5: Solve for x
    x = 89,319,975,013.08/313,494.66
  6. Step 6: Final answer
    x = 284,917.05

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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.