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Finding the Fourth Proportional to 339,714.60, 509,960.70 and 199,552.20

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Solution

The fourth proportional to 339,714.60, 509,960.70 and 199,552.20 is: 299,556.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,714.60 : 509,960.70 = 199,552.20 : x
  2. Step 2: Convert to fraction form
    339,714.60/509,960.70 = 199,552.20/x
  3. Step 3: Cross multiply
    339,714.60x = 509,960.70 × 199,552.20
  4. Step 4: Simplify right side
    339,714.60x = 101,763,779,598.54
  5. Step 5: Solve for x
    x = 101,763,779,598.54/339,714.60
  6. Step 6: Final answer
    x = 299,556.69

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