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Finding the Fourth Proportional to 644,952.96, 967,431.72 and 195,677.64

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Solution

The fourth proportional to 644,952.96, 967,431.72 and 195,677.64 is: 293,517.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,952.96 : 967,431.72 = 195,677.64 : x
  2. Step 2: Convert to fraction form
    644,952.96/967,431.72 = 195,677.64/x
  3. Step 3: Cross multiply
    644,952.96x = 967,431.72 × 195,677.64
  4. Step 4: Simplify right side
    644,952.96x = 189,304,755,830.74
  5. Step 5: Solve for x
    x = 189,304,755,830.74/644,952.96
  6. Step 6: Final answer
    x = 293,517.15

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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.