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Finding the Fourth Proportional to 569,133.64, 853,583.82 and 209,180.44

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Solution

The fourth proportional to 569,133.64, 853,583.82 and 209,180.44 is: 313,727.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,133.64 : 853,583.82 = 209,180.44 : x
  2. Step 2: Convert to fraction form
    569,133.64/853,583.82 = 209,180.44/x
  3. Step 3: Cross multiply
    569,133.64x = 853,583.82 × 209,180.44
  4. Step 4: Simplify right side
    569,133.64x = 178,553,039,044.48
  5. Step 5: Solve for x
    x = 178,553,039,044.48/569,133.64
  6. Step 6: Final answer
    x = 313,727.79

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Why These Related Problems?

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