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Finding the Fourth Proportional to 511,147.56, 766,871.64 and 151,327.56

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Solution

The fourth proportional to 511,147.56, 766,871.64 and 151,327.56 is: 227,035.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,147.56 : 766,871.64 = 151,327.56 : x
  2. Step 2: Convert to fraction form
    511,147.56/766,871.64 = 151,327.56/x
  3. Step 3: Cross multiply
    511,147.56x = 766,871.64 × 151,327.56
  4. Step 4: Simplify right side
    511,147.56x = 116,048,814,114.40
  5. Step 5: Solve for x
    x = 116,048,814,114.40/511,147.56
  6. Step 6: Final answer
    x = 227,035.84

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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.