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Finding the Fourth Proportional to 265,408.42, 398,180.07 and 78,419.92

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Solution

The fourth proportional to 265,408.42, 398,180.07 and 78,419.92 is: 117,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,408.42 : 398,180.07 = 78,419.92 : x
  2. Step 2: Convert to fraction form
    265,408.42/398,180.07 = 78,419.92/x
  3. Step 3: Cross multiply
    265,408.42x = 398,180.07 × 78,419.92
  4. Step 4: Simplify right side
    265,408.42x = 31,225,249,234.99
  5. Step 5: Solve for x
    x = 31,225,249,234.99/265,408.42
  6. Step 6: Final answer
    x = 117,649.81

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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.