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Finding the Fourth Proportional to 290,513.63, 400,929.26 and 163,189.32

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Solution

The fourth proportional to 290,513.63, 400,929.26 and 163,189.32 is: 225,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,513.63 : 400,929.26 = 163,189.32 : x
  2. Step 2: Convert to fraction form
    290,513.63/400,929.26 = 163,189.32/x
  3. Step 3: Cross multiply
    290,513.63x = 400,929.26 × 163,189.32
  4. Step 4: Simplify right side
    290,513.63x = 65,427,372,491.56
  5. Step 5: Solve for x
    x = 65,427,372,491.56/290,513.63
  6. Step 6: Final answer
    x = 225,212.75

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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.