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Finding the Fourth Proportional to 291,026.34, 401,272.85 and 199,189.92

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Solution

The fourth proportional to 291,026.34, 401,272.85 and 199,189.92 is: 274,646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,026.34 : 401,272.85 = 199,189.92 : x
  2. Step 2: Convert to fraction form
    291,026.34/401,272.85 = 199,189.92/x
  3. Step 3: Cross multiply
    291,026.34x = 401,272.85 × 199,189.92
  4. Step 4: Simplify right side
    291,026.34x = 79,929,504,883.31
  5. Step 5: Solve for x
    x = 79,929,504,883.31/291,026.34
  6. Step 6: Final answer
    x = 274,646.98

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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.