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Finding the Fourth Proportional to 471,131.17, 706,286.69 and 302,699.36

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Solution

The fourth proportional to 471,131.17, 706,286.69 and 302,699.36 is: 453,785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,131.17 : 706,286.69 = 302,699.36 : x
  2. Step 2: Convert to fraction form
    471,131.17/706,286.69 = 302,699.36/x
  3. Step 3: Cross multiply
    471,131.17x = 706,286.69 × 302,699.36
  4. Step 4: Simplify right side
    471,131.17x = 213,792,530,426.86
  5. Step 5: Solve for x
    x = 213,792,530,426.86/471,131.17
  6. Step 6: Final answer
    x = 453,785.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.