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Finding the Fourth Proportional to 400,098.08, 600,057.84 and 119,578.88

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Solution

The fourth proportional to 400,098.08, 600,057.84 and 119,578.88 is: 179,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,098.08 : 600,057.84 = 119,578.88 : x
  2. Step 2: Convert to fraction form
    400,098.08/600,057.84 = 119,578.88/x
  3. Step 3: Cross multiply
    400,098.08x = 600,057.84 × 119,578.88
  4. Step 4: Simplify right side
    400,098.08x = 71,754,244,442.42
  5. Step 5: Solve for x
    x = 71,754,244,442.42/400,098.08
  6. Step 6: Final answer
    x = 179,341.64

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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.