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Finding the Fourth Proportional to 511,498.66, 705,842.49 and 285,100.42

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Solution

The fourth proportional to 511,498.66, 705,842.49 and 285,100.42 is: 393,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,498.66 : 705,842.49 = 285,100.42 : x
  2. Step 2: Convert to fraction form
    511,498.66/705,842.49 = 285,100.42/x
  3. Step 3: Cross multiply
    511,498.66x = 705,842.49 × 285,100.42
  4. Step 4: Simplify right side
    511,498.66x = 201,235,990,352.85
  5. Step 5: Solve for x
    x = 201,235,990,352.85/511,498.66
  6. Step 6: Final answer
    x = 393,424.28

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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.