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Finding the Fourth Proportional to 463,101.80, 694,652.70 and 163,920.20

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Solution

The fourth proportional to 463,101.80, 694,652.70 and 163,920.20 is: 245,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,101.80 : 694,652.70 = 163,920.20 : x
  2. Step 2: Convert to fraction form
    463,101.80/694,652.70 = 163,920.20/x
  3. Step 3: Cross multiply
    463,101.80x = 694,652.70 × 163,920.20
  4. Step 4: Simplify right side
    463,101.80x = 113,867,609,514.54
  5. Step 5: Solve for x
    x = 113,867,609,514.54/463,101.80
  6. Step 6: Final answer
    x = 245,880.30

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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.