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Finding the Fourth Proportional to 561,701.93, 842,469.83 and 206,632.91

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Solution

The fourth proportional to 561,701.93, 842,469.83 and 206,632.91 is: 309,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,701.93 : 842,469.83 = 206,632.91 : x
  2. Step 2: Convert to fraction form
    561,701.93/842,469.83 = 206,632.91/x
  3. Step 3: Cross multiply
    561,701.93x = 842,469.83 × 206,632.91
  4. Step 4: Simplify right side
    561,701.93x = 174,081,995,182.86
  5. Step 5: Solve for x
    x = 174,081,995,182.86/561,701.93
  6. Step 6: Final answer
    x = 309,918.82

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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.