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Finding the Fourth Proportional to 299,544, 413,371.08 and 165,408

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Solution

The fourth proportional to 299,544, 413,371.08 and 165,408 is: 228,263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,544 : 413,371.08 = 165,408 : x
  2. Step 2: Convert to fraction form
    299,544/413,371.08 = 165,408/x
  3. Step 3: Cross multiply
    299,544x = 413,371.08 × 165,408
  4. Step 4: Simplify right side
    299,544x = 68,374,883,600.64
  5. Step 5: Solve for x
    x = 68,374,883,600.64/299,544
  6. Step 6: Final answer
    x = 228,263.24

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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.