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Finding the Fourth Proportional to 644,168.34, 966,127.84 and 194,783.85

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Solution

The fourth proportional to 644,168.34, 966,127.84 and 194,783.85 is: 292,138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,168.34 : 966,127.84 = 194,783.85 : x
  2. Step 2: Convert to fraction form
    644,168.34/966,127.84 = 194,783.85/x
  3. Step 3: Cross multiply
    644,168.34x = 966,127.84 × 194,783.85
  4. Step 4: Simplify right side
    644,168.34x = 188,186,099,780.42
  5. Step 5: Solve for x
    x = 188,186,099,780.42/644,168.34
  6. Step 6: Final answer
    x = 292,138.08

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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.