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Finding the Fourth Proportional to 295,163.91, 407,314.13 and 174,344.31

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Solution

The fourth proportional to 295,163.91, 407,314.13 and 174,344.31 is: 240,588.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,163.91 : 407,314.13 = 174,344.31 : x
  2. Step 2: Convert to fraction form
    295,163.91/407,314.13 = 174,344.31/x
  3. Step 3: Cross multiply
    295,163.91x = 407,314.13 × 174,344.31
  4. Step 4: Simplify right side
    295,163.91x = 71,012,900,076.38
  5. Step 5: Solve for x
    x = 71,012,900,076.38/295,163.91
  6. Step 6: Final answer
    x = 240,588.02

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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.