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Finding the Fourth Proportional to 384,389.97, 576,680.13 and 114,516.90

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Solution

The fourth proportional to 384,389.97, 576,680.13 and 114,516.90 is: 171,803.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,389.97 : 576,680.13 = 114,516.90 : x
  2. Step 2: Convert to fraction form
    384,389.97/576,680.13 = 114,516.90/x
  3. Step 3: Cross multiply
    384,389.97x = 576,680.13 × 114,516.90
  4. Step 4: Simplify right side
    384,389.97x = 66,039,622,512.31
  5. Step 5: Solve for x
    x = 66,039,622,512.31/384,389.97
  6. Step 6: Final answer
    x = 171,803.71

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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.