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Finding the Fourth Proportional to 511,986.22, 706,536.03 and 282,545.62

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Solution

The fourth proportional to 511,986.22, 706,536.03 and 282,545.62 is: 389,910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,986.22 : 706,536.03 = 282,545.62 : x
  2. Step 2: Convert to fraction form
    511,986.22/706,536.03 = 282,545.62/x
  3. Step 3: Cross multiply
    511,986.22x = 706,536.03 × 282,545.62
  4. Step 4: Simplify right side
    511,986.22x = 199,628,660,648.69
  5. Step 5: Solve for x
    x = 199,628,660,648.69/511,986.22
  6. Step 6: Final answer
    x = 389,910.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.