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Finding the Fourth Proportional to 463,137.80, 694,706.70 and 163,956.20

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Solution

The fourth proportional to 463,137.80, 694,706.70 and 163,956.20 is: 245,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,137.80 : 694,706.70 = 163,956.20 : x
  2. Step 2: Convert to fraction form
    463,137.80/694,706.70 = 163,956.20/x
  3. Step 3: Cross multiply
    463,137.80x = 694,706.70 × 163,956.20
  4. Step 4: Simplify right side
    463,137.80x = 113,901,470,646.54
  5. Step 5: Solve for x
    x = 113,901,470,646.54/463,137.80
  6. Step 6: Final answer
    x = 245,934.30

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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.