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Finding the Fourth Proportional to 514,398.57, 771,616.41 and 177,450.21

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Solution

The fourth proportional to 514,398.57, 771,616.41 and 177,450.21 is: 266,181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,398.57 : 771,616.41 = 177,450.21 : x
  2. Step 2: Convert to fraction form
    514,398.57/771,616.41 = 177,450.21/x
  3. Step 3: Cross multiply
    514,398.57x = 771,616.41 × 177,450.21
  4. Step 4: Simplify right side
    514,398.57x = 136,923,490,135.86
  5. Step 5: Solve for x
    x = 136,923,490,135.86/514,398.57
  6. Step 6: Final answer
    x = 266,181.71

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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.