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Finding the Fourth Proportional to 313,874.42, 433,183.02 and 186,548.90

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Solution

The fourth proportional to 313,874.42, 433,183.02 and 186,548.90 is: 257,459.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,874.42 : 433,183.02 = 186,548.90 : x
  2. Step 2: Convert to fraction form
    313,874.42/433,183.02 = 186,548.90/x
  3. Step 3: Cross multiply
    313,874.42x = 433,183.02 × 186,548.90
  4. Step 4: Simplify right side
    313,874.42x = 80,809,815,879.68
  5. Step 5: Solve for x
    x = 80,809,815,879.68/313,874.42
  6. Step 6: Final answer
    x = 257,459.07

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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.