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Finding the Fourth Proportional to 561,798.23, 842,781.26 and 206,785.25

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Solution

The fourth proportional to 561,798.23, 842,781.26 and 206,785.25 is: 310,208.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,798.23 : 842,781.26 = 206,785.25 : x
  2. Step 2: Convert to fraction form
    561,798.23/842,781.26 = 206,785.25/x
  3. Step 3: Cross multiply
    561,798.23x = 842,781.26 × 206,785.25
  4. Step 4: Simplify right side
    561,798.23x = 174,274,736,585.38
  5. Step 5: Solve for x
    x = 174,274,736,585.38/561,798.23
  6. Step 6: Final answer
    x = 310,208.77

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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.