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Finding the Fourth Proportional to 340,471.34, 469,709.44 and 202,622.70

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Solution

The fourth proportional to 340,471.34, 469,709.44 and 202,622.70 is: 279,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,471.34 : 469,709.44 = 202,622.70 : x
  2. Step 2: Convert to fraction form
    340,471.34/469,709.44 = 202,622.70/x
  3. Step 3: Cross multiply
    340,471.34x = 469,709.44 × 202,622.70
  4. Step 4: Simplify right side
    340,471.34x = 95,173,794,441.73
  5. Step 5: Solve for x
    x = 95,173,794,441.73/340,471.34
  6. Step 6: Final answer
    x = 279,535.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.