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Finding the Fourth Proportional to 514,605.82, 771,496.34 and 244,598.44

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Solution

The fourth proportional to 514,605.82, 771,496.34 and 244,598.44 is: 366,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,605.82 : 771,496.34 = 244,598.44 : x
  2. Step 2: Convert to fraction form
    514,605.82/771,496.34 = 244,598.44/x
  3. Step 3: Cross multiply
    514,605.82x = 771,496.34 × 244,598.44
  4. Step 4: Simplify right side
    514,605.82x = 188,706,801,229.71
  5. Step 5: Solve for x
    x = 188,706,801,229.71/514,605.82
  6. Step 6: Final answer
    x = 366,701.65

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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.