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Finding the Fourth Proportional to 295,983.71, 408,594.14 and 173,459.16

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Solution

The fourth proportional to 295,983.71, 408,594.14 and 173,459.16 is: 239,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,983.71 : 408,594.14 = 173,459.16 : x
  2. Step 2: Convert to fraction form
    295,983.71/408,594.14 = 173,459.16/x
  3. Step 3: Cross multiply
    295,983.71x = 408,594.14 × 173,459.16
  4. Step 4: Simplify right side
    295,983.71x = 70,874,396,738.97
  5. Step 5: Solve for x
    x = 70,874,396,738.97/295,983.71
  6. Step 6: Final answer
    x = 239,453.71

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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.