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Finding the Fourth Proportional to 514,614.62, 771,996.35 and 194,679.72

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Solution

The fourth proportional to 514,614.62, 771,996.35 and 194,679.72 is: 292,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,614.62 : 771,996.35 = 194,679.72 : x
  2. Step 2: Convert to fraction form
    514,614.62/771,996.35 = 194,679.72/x
  3. Step 3: Cross multiply
    514,614.62x = 771,996.35 × 194,679.72
  4. Step 4: Simplify right side
    514,614.62x = 150,292,033,745.72
  5. Step 5: Solve for x
    x = 150,292,033,745.72/514,614.62
  6. Step 6: Final answer
    x = 292,047.73

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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.