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Finding the Fourth Proportional to 340,782.90, 470,261.21 and 187,820.64

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Solution

The fourth proportional to 340,782.90, 470,261.21 and 187,820.64 is: 259,181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,782.90 : 470,261.21 = 187,820.64 : x
  2. Step 2: Convert to fraction form
    340,782.90/470,261.21 = 187,820.64/x
  3. Step 3: Cross multiply
    340,782.90x = 470,261.21 × 187,820.64
  4. Step 4: Simplify right side
    340,782.90x = 88,324,760,490.27
  5. Step 5: Solve for x
    x = 88,324,760,490.27/340,782.90
  6. Step 6: Final answer
    x = 259,181.90

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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.