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Finding the Fourth Proportional to 511,798.68, 767,796.42 and 196,230.98

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Solution

The fourth proportional to 511,798.68, 767,796.42 and 196,230.98 is: 294,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,798.68 : 767,796.42 = 196,230.98 : x
  2. Step 2: Convert to fraction form
    511,798.68/767,796.42 = 196,230.98/x
  3. Step 3: Cross multiply
    511,798.68x = 767,796.42 × 196,230.98
  4. Step 4: Simplify right side
    511,798.68x = 150,665,440,098.11
  5. Step 5: Solve for x
    x = 150,665,440,098.11/511,798.68
  6. Step 6: Final answer
    x = 294,384.19

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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.