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Finding the Fourth Proportional to 341,789.45, 471,802.31 and 305,917.19

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Solution

The fourth proportional to 341,789.45, 471,802.31 and 305,917.19 is: 422,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,789.45 : 471,802.31 = 305,917.19 : x
  2. Step 2: Convert to fraction form
    341,789.45/471,802.31 = 305,917.19/x
  3. Step 3: Cross multiply
    341,789.45x = 471,802.31 × 305,917.19
  4. Step 4: Simplify right side
    341,789.45x = 144,332,433,022.11
  5. Step 5: Solve for x
    x = 144,332,433,022.11/341,789.45
  6. Step 6: Final answer
    x = 422,284.64

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