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Finding the Fourth Proportional to 514,588.80, 771,996.60 and 173,020.56

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Solution

The fourth proportional to 514,588.80, 771,996.60 and 173,020.56 is: 259,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,588.80 : 771,996.60 = 173,020.56 : x
  2. Step 2: Convert to fraction form
    514,588.80/771,996.60 = 173,020.56/x
  3. Step 3: Cross multiply
    514,588.80x = 771,996.60 × 173,020.56
  4. Step 4: Simplify right side
    514,588.80x = 133,571,284,050.10
  5. Step 5: Solve for x
    x = 133,571,284,050.10/514,588.80
  6. Step 6: Final answer
    x = 259,568.97

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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.