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Finding the Fourth Proportional to 339,233.14, 509,082.96 and 117,617.14

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Solution

The fourth proportional to 339,233.14, 509,082.96 and 117,617.14 is: 176,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,233.14 : 509,082.96 = 117,617.14 : x
  2. Step 2: Convert to fraction form
    339,233.14/509,082.96 = 117,617.14/x
  3. Step 3: Cross multiply
    339,233.14x = 509,082.96 × 117,617.14
  4. Step 4: Simplify right side
    339,233.14x = 59,876,881,777.93
  5. Step 5: Solve for x
    x = 59,876,881,777.93/339,233.14
  6. Step 6: Final answer
    x = 176,506.58

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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.