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Finding the Fourth Proportional to 314,442.50, 434,218.77 and 199,758.26

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Solution

The fourth proportional to 314,442.50, 434,218.77 and 199,758.26 is: 275,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,442.50 : 434,218.77 = 199,758.26 : x
  2. Step 2: Convert to fraction form
    314,442.50/434,218.77 = 199,758.26/x
  3. Step 3: Cross multiply
    314,442.50x = 434,218.77 × 199,758.26
  4. Step 4: Simplify right side
    314,442.50x = 86,738,785,954.54
  5. Step 5: Solve for x
    x = 86,738,785,954.54/314,442.50
  6. Step 6: Final answer
    x = 275,849.43

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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.