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Finding the Fourth Proportional to 384,446.66, 576,669.98 and 114,578.96

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Solution

The fourth proportional to 384,446.66, 576,669.98 and 114,578.96 is: 171,868.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,446.66 : 576,669.98 = 114,578.96 : x
  2. Step 2: Convert to fraction form
    384,446.66/576,669.98 = 114,578.96/x
  3. Step 3: Cross multiply
    384,446.66x = 576,669.98 × 114,578.96
  4. Step 4: Simplify right side
    384,446.66x = 66,074,243,974.72
  5. Step 5: Solve for x
    x = 66,074,243,974.72/384,446.66
  6. Step 6: Final answer
    x = 171,868.43

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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.