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Finding the Fourth Proportional to 416,408.40, 624,519 and 191,552.94

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Solution

The fourth proportional to 416,408.40, 624,519 and 191,552.94 is: 287,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,408.40 : 624,519 = 191,552.94 : x
  2. Step 2: Convert to fraction form
    416,408.40/624,519 = 191,552.94/x
  3. Step 3: Cross multiply
    416,408.40x = 624,519 × 191,552.94
  4. Step 4: Simplify right side
    416,408.40x = 119,628,450,535.86
  5. Step 5: Solve for x
    x = 119,628,450,535.86/416,408.40
  6. Step 6: Final answer
    x = 287,286.35

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1.5x scale

Why These Related Problems?

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