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Finding the Fourth Proportional to 511,798.93, 767,796.80 and 196,231.23

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Solution

The fourth proportional to 511,798.93, 767,796.80 and 196,231.23 is: 294,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,798.93 : 767,796.80 = 196,231.23 : x
  2. Step 2: Convert to fraction form
    511,798.93/767,796.80 = 196,231.23/x
  3. Step 3: Cross multiply
    511,798.93x = 767,796.80 × 196,231.23
  4. Step 4: Simplify right side
    511,798.93x = 150,665,710,454.06
  5. Step 5: Solve for x
    x = 150,665,710,454.06/511,798.93
  6. Step 6: Final answer
    x = 294,384.57

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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.