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Finding the Fourth Proportional to 561,756.53, 842,551.88 and 206,687.97

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Solution

The fourth proportional to 561,756.53, 842,551.88 and 206,687.97 is: 310,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,756.53 : 842,551.88 = 206,687.97 : x
  2. Step 2: Convert to fraction form
    561,756.53/842,551.88 = 206,687.97/x
  3. Step 3: Cross multiply
    561,756.53x = 842,551.88 × 206,687.97
  4. Step 4: Simplify right side
    561,756.53x = 174,145,336,663.44
  5. Step 5: Solve for x
    x = 174,145,336,663.44/561,756.53
  6. Step 6: Final answer
    x = 310,001.44

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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.