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Finding the Fourth Proportional to 299,514.08, 413,327.40 and 165,378.08

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Solution

The fourth proportional to 299,514.08, 413,327.40 and 165,378.08 is: 228,220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,514.08 : 413,327.40 = 165,378.08 : x
  2. Step 2: Convert to fraction form
    299,514.08/413,327.40 = 165,378.08/x
  3. Step 3: Cross multiply
    299,514.08x = 413,327.40 × 165,378.08
  4. Step 4: Simplify right side
    299,514.08x = 68,355,291,823.39
  5. Step 5: Solve for x
    x = 68,355,291,823.39/299,514.08
  6. Step 6: Final answer
    x = 228,220.63

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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.