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Finding the Fourth Proportional to 511,974.29, 768,041.64 and 156,951.29

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Solution

The fourth proportional to 511,974.29, 768,041.64 and 156,951.29 is: 235,451.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,974.29 : 768,041.64 = 156,951.29 : x
  2. Step 2: Convert to fraction form
    511,974.29/768,041.64 = 156,951.29/x
  3. Step 3: Cross multiply
    511,974.29x = 768,041.64 × 156,951.29
  4. Step 4: Simplify right side
    511,974.29x = 120,545,128,091.82
  5. Step 5: Solve for x
    x = 120,545,128,091.82/511,974.29
  6. Step 6: Final answer
    x = 235,451.53

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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.