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Finding the Fourth Proportional to 382,914.99, 574,727.15 and 193,508.64

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Solution

The fourth proportional to 382,914.99, 574,727.15 and 193,508.64 is: 290,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,914.99 : 574,727.15 = 193,508.64 : x
  2. Step 2: Convert to fraction form
    382,914.99/574,727.15 = 193,508.64/x
  3. Step 3: Cross multiply
    382,914.99x = 574,727.15 × 193,508.64
  4. Step 4: Simplify right side
    382,914.99x = 111,214,669,651.35
  5. Step 5: Solve for x
    x = 111,214,669,651.35/382,914.99
  6. Step 6: Final answer
    x = 290,442.19

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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.