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Finding the Fourth Proportional to 561,175.82, 841,763.73 and 206,036.18

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Solution

The fourth proportional to 561,175.82, 841,763.73 and 206,036.18 is: 309,054.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,175.82 : 841,763.73 = 206,036.18 : x
  2. Step 2: Convert to fraction form
    561,175.82/841,763.73 = 206,036.18/x
  3. Step 3: Cross multiply
    561,175.82x = 841,763.73 × 206,036.18
  4. Step 4: Simplify right side
    561,175.82x = 173,433,783,391.75
  5. Step 5: Solve for x
    x = 173,433,783,391.75/561,175.82
  6. Step 6: Final answer
    x = 309,054.27

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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.