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Finding the Fourth Proportional to 297,514.23, 410,467.01 and 190,147.11

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Solution

The fourth proportional to 297,514.23, 410,467.01 and 190,147.11 is: 262,337.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,514.23 : 410,467.01 = 190,147.11 : x
  2. Step 2: Convert to fraction form
    297,514.23/410,467.01 = 190,147.11/x
  3. Step 3: Cross multiply
    297,514.23x = 410,467.01 × 190,147.11
  4. Step 4: Simplify right side
    297,514.23x = 78,049,115,701.84
  5. Step 5: Solve for x
    x = 78,049,115,701.84/297,514.23
  6. Step 6: Final answer
    x = 262,337.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.