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Finding the Fourth Proportional to 466,429.26, 699,662.10 and 146,799.20

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Solution

The fourth proportional to 466,429.26, 699,662.10 and 146,799.20 is: 220,204.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,429.26 : 699,662.10 = 146,799.20 : x
  2. Step 2: Convert to fraction form
    466,429.26/699,662.10 = 146,799.20/x
  3. Step 3: Cross multiply
    466,429.26x = 699,662.10 × 146,799.20
  4. Step 4: Simplify right side
    466,429.26x = 102,709,836,550.32
  5. Step 5: Solve for x
    x = 102,709,836,550.32/466,429.26
  6. Step 6: Final answer
    x = 220,204.53

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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.