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Finding the Fourth Proportional to 507,796.84, 761,596.44 and 192,278.44

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Solution

The fourth proportional to 507,796.84, 761,596.44 and 192,278.44 is: 288,380.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,796.84 : 761,596.44 = 192,278.44 : x
  2. Step 2: Convert to fraction form
    507,796.84/761,596.44 = 192,278.44/x
  3. Step 3: Cross multiply
    507,796.84x = 761,596.44 × 192,278.44
  4. Step 4: Simplify right side
    507,796.84x = 146,438,575,392.75
  5. Step 5: Solve for x
    x = 146,438,575,392.75/507,796.84
  6. Step 6: Final answer
    x = 288,380.24

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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.