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Finding the Fourth Proportional to 403,705.98, 605,563.59 and 172,863.87

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Solution

The fourth proportional to 403,705.98, 605,563.59 and 172,863.87 is: 259,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,705.98 : 605,563.59 = 172,863.87 : x
  2. Step 2: Convert to fraction form
    403,705.98/605,563.59 = 172,863.87/x
  3. Step 3: Cross multiply
    403,705.98x = 605,563.59 × 172,863.87
  4. Step 4: Simplify right side
    403,705.98x = 104,680,065,698.49
  5. Step 5: Solve for x
    x = 104,680,065,698.49/403,705.98
  6. Step 6: Final answer
    x = 259,297.78

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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.