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Finding the Fourth Proportional to 334,231.30, 501,791.91 and 194,090.50

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Solution

The fourth proportional to 334,231.30, 501,791.91 and 194,090.50 is: 291,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,231.30 : 501,791.91 = 194,090.50 : x
  2. Step 2: Convert to fraction form
    334,231.30/501,791.91 = 194,090.50/x
  3. Step 3: Cross multiply
    334,231.30x = 501,791.91 × 194,090.50
  4. Step 4: Simplify right side
    334,231.30x = 97,393,042,707.86
  5. Step 5: Solve for x
    x = 97,393,042,707.86/334,231.30
  6. Step 6: Final answer
    x = 291,394.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.