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Finding the Fourth Proportional to 511,810.43, 767,687.94 and 156,825.50

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Solution

The fourth proportional to 511,810.43, 767,687.94 and 156,825.50 is: 235,229.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,810.43 : 767,687.94 = 156,825.50 : x
  2. Step 2: Convert to fraction form
    511,810.43/767,687.94 = 156,825.50/x
  3. Step 3: Cross multiply
    511,810.43x = 767,687.94 × 156,825.50
  4. Step 4: Simplify right side
    511,810.43x = 120,393,041,196.03
  5. Step 5: Solve for x
    x = 120,393,041,196.03/511,810.43
  6. Step 6: Final answer
    x = 235,229.76

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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.