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Finding the Fourth Proportional to 295,378.28, 407,616.81 and 168,051.14

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Solution

The fourth proportional to 295,378.28, 407,616.81 and 168,051.14 is: 231,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,378.28 : 407,616.81 = 168,051.14 : x
  2. Step 2: Convert to fraction form
    295,378.28/407,616.81 = 168,051.14/x
  3. Step 3: Cross multiply
    295,378.28x = 407,616.81 × 168,051.14
  4. Step 4: Simplify right side
    295,378.28x = 68,500,469,603.66
  5. Step 5: Solve for x
    x = 68,500,469,603.66/295,378.28
  6. Step 6: Final answer
    x = 231,907.61

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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.