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Finding the Fourth Proportional to 295,113.78, 407,257.07 and 167,797.17

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Solution

The fourth proportional to 295,113.78, 407,257.07 and 167,797.17 is: 231,560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,113.78 : 407,257.07 = 167,797.17 : x
  2. Step 2: Convert to fraction form
    295,113.78/407,257.07 = 167,797.17/x
  3. Step 3: Cross multiply
    295,113.78x = 407,257.07 × 167,797.17
  4. Step 4: Simplify right side
    295,113.78x = 68,336,582,969.51
  5. Step 5: Solve for x
    x = 68,336,582,969.51/295,113.78
  6. Step 6: Final answer
    x = 231,560.12

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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.