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Finding the Fourth Proportional to 454,903.20, 682,354.80 and 384,919.20

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Solution

The fourth proportional to 454,903.20, 682,354.80 and 384,919.20 is: 577,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,903.20 : 682,354.80 = 384,919.20 : x
  2. Step 2: Convert to fraction form
    454,903.20/682,354.80 = 384,919.20/x
  3. Step 3: Cross multiply
    454,903.20x = 682,354.80 × 384,919.20
  4. Step 4: Simplify right side
    454,903.20x = 262,651,463,732.16
  5. Step 5: Solve for x
    x = 262,651,463,732.16/454,903.20
  6. Step 6: Final answer
    x = 577,378.80

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Similar ratio
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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.