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Finding the Fourth Proportional to 339,636.94, 509,425.64 and 114,992.25

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Solution

The fourth proportional to 339,636.94, 509,425.64 and 114,992.25 is: 172,478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,636.94 : 509,425.64 = 114,992.25 : x
  2. Step 2: Convert to fraction form
    339,636.94/509,425.64 = 114,992.25/x
  3. Step 3: Cross multiply
    339,636.94x = 509,425.64 × 114,992.25
  4. Step 4: Simplify right side
    339,636.94x = 58,580,000,551.29
  5. Step 5: Solve for x
    x = 58,580,000,551.29/339,636.94
  6. Step 6: Final answer
    x = 172,478.30

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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.