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Finding the Fourth Proportional to 511,953.12, 767,676.87 and 156,881.52

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Solution

The fourth proportional to 511,953.12, 767,676.87 and 156,881.52 is: 235,244.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,953.12 : 767,676.87 = 156,881.52 : x
  2. Step 2: Convert to fraction form
    511,953.12/767,676.87 = 156,881.52/x
  3. Step 3: Cross multiply
    511,953.12x = 767,676.87 × 156,881.52
  4. Step 4: Simplify right side
    511,953.12x = 120,434,314,234.44
  5. Step 5: Solve for x
    x = 120,434,314,234.44/511,953.12
  6. Step 6: Final answer
    x = 235,244.81

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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.