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Finding the Fourth Proportional to 339,597.63, 509,039.10 and 114,744.87

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Solution

The fourth proportional to 339,597.63, 509,039.10 and 114,744.87 is: 171,996.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,597.63 : 509,039.10 = 114,744.87 : x
  2. Step 2: Convert to fraction form
    339,597.63/509,039.10 = 114,744.87/x
  3. Step 3: Cross multiply
    339,597.63x = 509,039.10 × 114,744.87
  4. Step 4: Simplify right side
    339,597.63x = 58,409,625,354.42
  5. Step 5: Solve for x
    x = 58,409,625,354.42/339,597.63
  6. Step 6: Final answer
    x = 171,996.56

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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.