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Finding the Fourth Proportional to 511,519.86, 705,881.22 and 282,086.82

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Solution

The fourth proportional to 511,519.86, 705,881.22 and 282,086.82 is: 389,270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,519.86 : 705,881.22 = 282,086.82 : x
  2. Step 2: Convert to fraction form
    511,519.86/705,881.22 = 282,086.82/x
  3. Step 3: Cross multiply
    511,519.86x = 705,881.22 × 282,086.82
  4. Step 4: Simplify right side
    511,519.86x = 199,119,788,647.52
  5. Step 5: Solve for x
    x = 199,119,788,647.52/511,519.86
  6. Step 6: Final answer
    x = 389,270.89

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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.