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Finding the Fourth Proportional to 532,185.84, 734,410.44 and 290,466.54

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Solution

The fourth proportional to 532,185.84, 734,410.44 and 290,466.54 is: 400,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,185.84 : 734,410.44 = 290,466.54 : x
  2. Step 2: Convert to fraction form
    532,185.84/734,410.44 = 290,466.54/x
  3. Step 3: Cross multiply
    532,185.84x = 734,410.44 × 290,466.54
  4. Step 4: Simplify right side
    532,185.84x = 213,321,659,446.68
  5. Step 5: Solve for x
    x = 213,321,659,446.68/532,185.84
  6. Step 6: Final answer
    x = 400,840.54

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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.