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Finding the Fourth Proportional to 511,804.22, 767,804.76 and 196,236.52

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Solution

The fourth proportional to 511,804.22, 767,804.76 and 196,236.52 is: 294,392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,804.22 : 767,804.76 = 196,236.52 : x
  2. Step 2: Convert to fraction form
    511,804.22/767,804.76 = 196,236.52/x
  3. Step 3: Cross multiply
    511,804.22x = 767,804.76 × 196,236.52
  4. Step 4: Simplify right side
    511,804.22x = 150,671,334,141.84
  5. Step 5: Solve for x
    x = 150,671,334,141.84/511,804.22
  6. Step 6: Final answer
    x = 294,392.52

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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.