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Finding the Fourth Proportional to 511,740.82, 767,600.72 and 227,354.28

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Solution

The fourth proportional to 511,740.82, 767,600.72 and 227,354.28 is: 341,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,740.82 : 767,600.72 = 227,354.28 : x
  2. Step 2: Convert to fraction form
    511,740.82/767,600.72 = 227,354.28/x
  3. Step 3: Cross multiply
    511,740.82x = 767,600.72 × 227,354.28
  4. Step 4: Simplify right side
    511,740.82x = 174,517,305,860.39
  5. Step 5: Solve for x
    x = 174,517,305,860.39/511,740.82
  6. Step 6: Final answer
    x = 341,026.74

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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.