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Finding the Fourth Proportional to 619,644.70, 929,596.65 and 198,963.10

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Solution

The fourth proportional to 619,644.70, 929,596.65 and 198,963.10 is: 298,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,644.70 : 929,596.65 = 198,963.10 : x
  2. Step 2: Convert to fraction form
    619,644.70/929,596.65 = 198,963.10/x
  3. Step 3: Cross multiply
    619,644.70x = 929,596.65 × 198,963.10
  4. Step 4: Simplify right side
    619,644.70x = 184,955,431,233.62
  5. Step 5: Solve for x
    x = 184,955,431,233.62/619,644.70
  6. Step 6: Final answer
    x = 298,486.26

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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.