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Finding the Fourth Proportional to 290,563.44, 400,835.16 and 183,081.84

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Solution

The fourth proportional to 290,563.44, 400,835.16 and 183,081.84 is: 252,563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,563.44 : 400,835.16 = 183,081.84 : x
  2. Step 2: Convert to fraction form
    290,563.44/400,835.16 = 183,081.84/x
  3. Step 3: Cross multiply
    290,563.44x = 400,835.16 × 183,081.84
  4. Step 4: Simplify right side
    290,563.44x = 73,385,638,629.49
  5. Step 5: Solve for x
    x = 73,385,638,629.49/290,563.44
  6. Step 6: Final answer
    x = 252,563.22

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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.