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Finding the Fourth Proportional to 403,858.20, 605,738.70 and 167,176.20

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Solution

The fourth proportional to 403,858.20, 605,738.70 and 167,176.20 is: 250,744.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,858.20 : 605,738.70 = 167,176.20 : x
  2. Step 2: Convert to fraction form
    403,858.20/605,738.70 = 167,176.20/x
  3. Step 3: Cross multiply
    403,858.20x = 605,738.70 × 167,176.20
  4. Step 4: Simplify right side
    403,858.20x = 101,265,094,058.94
  5. Step 5: Solve for x
    x = 101,265,094,058.94/403,858.20
  6. Step 6: Final answer
    x = 250,744.18

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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.