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Finding the Fourth Proportional to 514,769.31, 771,697.13 and 194,697.27

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Solution

The fourth proportional to 514,769.31, 771,697.13 and 194,697.27 is: 291,873.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,769.31 : 771,697.13 = 194,697.27 : x
  2. Step 2: Convert to fraction form
    514,769.31/771,697.13 = 194,697.27/x
  3. Step 3: Cross multiply
    514,769.31x = 771,697.13 × 194,697.27
  4. Step 4: Simplify right side
    514,769.31x = 150,247,323,504.35
  5. Step 5: Solve for x
    x = 150,247,323,504.35/514,769.31
  6. Step 6: Final answer
    x = 291,873.12

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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.