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Finding the Fourth Proportional to 361,415.54, 498,739.97 and 208,460

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Solution

The fourth proportional to 361,415.54, 498,739.97 and 208,460 is: 287,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,415.54 : 498,739.97 = 208,460 : x
  2. Step 2: Convert to fraction form
    361,415.54/498,739.97 = 208,460/x
  3. Step 3: Cross multiply
    361,415.54x = 498,739.97 × 208,460
  4. Step 4: Simplify right side
    361,415.54x = 103,967,334,146.20
  5. Step 5: Solve for x
    x = 103,967,334,146.20/361,415.54
  6. Step 6: Final answer
    x = 287,667.03

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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.