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Finding the Fourth Proportional to 514,268.08, 771,605.17 and 159,309.78

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Solution

The fourth proportional to 514,268.08, 771,605.17 and 159,309.78 is: 239,027.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,268.08 : 771,605.17 = 159,309.78 : x
  2. Step 2: Convert to fraction form
    514,268.08/771,605.17 = 159,309.78/x
  3. Step 3: Cross multiply
    514,268.08x = 771,605.17 × 159,309.78
  4. Step 4: Simplify right side
    514,268.08x = 122,924,249,879.56
  5. Step 5: Solve for x
    x = 122,924,249,879.56/514,268.08
  6. Step 6: Final answer
    x = 239,027.57

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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.