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Finding the Fourth Proportional to 511,819.86, 706,311.48 and 285,465.36

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Solution

The fourth proportional to 511,819.86, 706,311.48 and 285,465.36 is: 393,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,819.86 : 706,311.48 = 285,465.36 : x
  2. Step 2: Convert to fraction form
    511,819.86/706,311.48 = 285,465.36/x
  3. Step 3: Cross multiply
    511,819.86x = 706,311.48 × 285,465.36
  4. Step 4: Simplify right side
    511,819.86x = 201,627,460,910.33
  5. Step 5: Solve for x
    x = 201,627,460,910.33/511,819.86
  6. Step 6: Final answer
    x = 393,942.24

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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.