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Finding the Fourth Proportional to 286,183.76, 394,953.48 and 165,365.84

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Solution

The fourth proportional to 286,183.76, 394,953.48 and 165,365.84 is: 228,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,183.76 : 394,953.48 = 165,365.84 : x
  2. Step 2: Convert to fraction form
    286,183.76/394,953.48 = 165,365.84/x
  3. Step 3: Cross multiply
    286,183.76x = 394,953.48 × 165,365.84
  4. Step 4: Simplify right side
    286,183.76x = 65,311,813,981.12
  5. Step 5: Solve for x
    x = 65,311,813,981.12/286,183.76
  6. Step 6: Final answer
    x = 228,216.35

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1.5x scale

Why These Related Problems?

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