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Finding the Fourth Proportional to 339,473.40, 509,265.06 and 114,847.44

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Solution

The fourth proportional to 339,473.40, 509,265.06 and 114,847.44 is: 172,289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,473.40 : 509,265.06 = 114,847.44 : x
  2. Step 2: Convert to fraction form
    339,473.40/509,265.06 = 114,847.44/x
  3. Step 3: Cross multiply
    339,473.40x = 509,265.06 × 114,847.44
  4. Step 4: Simplify right side
    339,473.40x = 58,487,788,422.45
  5. Step 5: Solve for x
    x = 58,487,788,422.45/339,473.40
  6. Step 6: Final answer
    x = 172,289.75

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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.