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Finding the Fourth Proportional to 511,975.29, 768,043.14 and 156,952.29

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Solution

The fourth proportional to 511,975.29, 768,043.14 and 156,952.29 is: 235,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,975.29 : 768,043.14 = 156,952.29 : x
  2. Step 2: Convert to fraction form
    511,975.29/768,043.14 = 156,952.29/x
  3. Step 3: Cross multiply
    511,975.29x = 768,043.14 × 156,952.29
  4. Step 4: Simplify right side
    511,975.29x = 120,546,129,641.79
  5. Step 5: Solve for x
    x = 120,546,129,641.79/511,975.29
  6. Step 6: Final answer
    x = 235,453.02

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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.