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Finding the Fourth Proportional to 514,967.10, 772,523.55 and 159,944.10

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Solution

The fourth proportional to 514,967.10, 772,523.55 and 159,944.10 is: 239,938.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,967.10 : 772,523.55 = 159,944.10 : x
  2. Step 2: Convert to fraction form
    514,967.10/772,523.55 = 159,944.10/x
  3. Step 3: Cross multiply
    514,967.10x = 772,523.55 × 159,944.10
  4. Step 4: Simplify right side
    514,967.10x = 123,560,583,933.56
  5. Step 5: Solve for x
    x = 123,560,583,933.56/514,967.10
  6. Step 6: Final answer
    x = 239,938.79

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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.