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Finding the Fourth Proportional to 511,940.12, 767,906.94 and 174,818.12

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Solution

The fourth proportional to 511,940.12, 767,906.94 and 174,818.12 is: 262,226.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,940.12 : 767,906.94 = 174,818.12 : x
  2. Step 2: Convert to fraction form
    511,940.12/767,906.94 = 174,818.12/x
  3. Step 3: Cross multiply
    511,940.12x = 767,906.94 × 174,818.12
  4. Step 4: Simplify right side
    511,940.12x = 134,244,047,585.75
  5. Step 5: Solve for x
    x = 134,244,047,585.75/511,940.12
  6. Step 6: Final answer
    x = 262,226.07

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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.