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Finding the Fourth Proportional to 701,067.15, 967,518.27 and 406,777.14

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Solution

The fourth proportional to 701,067.15, 967,518.27 and 406,777.14 is: 561,378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,067.15 : 967,518.27 = 406,777.14 : x
  2. Step 2: Convert to fraction form
    701,067.15/967,518.27 = 406,777.14/x
  3. Step 3: Cross multiply
    701,067.15x = 967,518.27 × 406,777.14
  4. Step 4: Simplify right side
    701,067.15x = 393,564,314,768.35
  5. Step 5: Solve for x
    x = 393,564,314,768.35/701,067.15
  6. Step 6: Final answer
    x = 561,378.91

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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.