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Finding the Fourth Proportional to 514,913.82, 771,365.17 and 244,657.32

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Solution

The fourth proportional to 514,913.82, 771,365.17 and 244,657.32 is: 366,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,913.82 : 771,365.17 = 244,657.32 : x
  2. Step 2: Convert to fraction form
    514,913.82/771,365.17 = 244,657.32/x
  3. Step 3: Cross multiply
    514,913.82x = 771,365.17 × 244,657.32
  4. Step 4: Simplify right side
    514,913.82x = 188,720,135,233.54
  5. Step 5: Solve for x
    x = 188,720,135,233.54/514,913.82
  6. Step 6: Final answer
    x = 366,508.20

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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.