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Finding the Fourth Proportional to 466,471.30, 699,710.20 and 200,007.22

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Solution

The fourth proportional to 466,471.30, 699,710.20 and 200,007.22 is: 300,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,471.30 : 699,710.20 = 200,007.22 : x
  2. Step 2: Convert to fraction form
    466,471.30/699,710.20 = 200,007.22/x
  3. Step 3: Cross multiply
    466,471.30x = 699,710.20 × 200,007.22
  4. Step 4: Simplify right side
    466,471.30x = 139,947,091,907.64
  5. Step 5: Solve for x
    x = 139,947,091,907.64/466,471.30
  6. Step 6: Final answer
    x = 300,012.22

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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.