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Finding the Fourth Proportional to 511,840.17, 767,907.81 and 156,906.54

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Solution

The fourth proportional to 511,840.17, 767,907.81 and 156,906.54 is: 235,405.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,840.17 : 767,907.81 = 156,906.54 : x
  2. Step 2: Convert to fraction form
    511,840.17/767,907.81 = 156,906.54/x
  3. Step 3: Cross multiply
    511,840.17x = 767,907.81 × 156,906.54
  4. Step 4: Simplify right side
    511,840.17x = 120,489,757,506.08
  5. Step 5: Solve for x
    x = 120,489,757,506.08/511,840.17
  6. Step 6: Final answer
    x = 235,405.04

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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.