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Finding the Fourth Proportional to 511,991.24, 767,958.10 and 157,004.28

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Solution

The fourth proportional to 511,991.24, 767,958.10 and 157,004.28 is: 235,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,991.24 : 767,958.10 = 157,004.28 : x
  2. Step 2: Convert to fraction form
    511,991.24/767,958.10 = 157,004.28/x
  3. Step 3: Cross multiply
    511,991.24x = 767,958.10 × 157,004.28
  4. Step 4: Simplify right side
    511,991.24x = 120,572,708,168.16
  5. Step 5: Solve for x
    x = 120,572,708,168.16/511,991.24
  6. Step 6: Final answer
    x = 235,497.60

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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.