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Finding the Fourth Proportional to 561,040.27, 841,643.46 and 206,026.61

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Solution

The fourth proportional to 561,040.27, 841,643.46 and 206,026.61 is: 309,070.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,040.27 : 841,643.46 = 206,026.61 : x
  2. Step 2: Convert to fraction form
    561,040.27/841,643.46 = 206,026.61/x
  3. Step 3: Cross multiply
    561,040.27x = 841,643.46 × 206,026.61
  4. Step 4: Simplify right side
    561,040.27x = 173,400,951,785.62
  5. Step 5: Solve for x
    x = 173,400,951,785.62/561,040.27
  6. Step 6: Final answer
    x = 309,070.42

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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.