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Finding the Fourth Proportional to 511,914.20, 768,018.84 and 156,980.56

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Solution

The fourth proportional to 511,914.20, 768,018.84 and 156,980.56 is: 235,516.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,914.20 : 768,018.84 = 156,980.56 : x
  2. Step 2: Convert to fraction form
    511,914.20/768,018.84 = 156,980.56/x
  3. Step 3: Cross multiply
    511,914.20x = 768,018.84 × 156,980.56
  4. Step 4: Simplify right side
    511,914.20x = 120,564,027,593.75
  5. Step 5: Solve for x
    x = 120,564,027,593.75/511,914.20
  6. Step 6: Final answer
    x = 235,516.08

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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.