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Finding the Fourth Proportional to 454,811.40, 682,217.10 and 454,811.40

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Solution

The fourth proportional to 454,811.40, 682,217.10 and 454,811.40 is: 682,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,811.40 : 682,217.10 = 454,811.40 : x
  2. Step 2: Convert to fraction form
    454,811.40/682,217.10 = 454,811.40/x
  3. Step 3: Cross multiply
    454,811.40x = 682,217.10 × 454,811.40
  4. Step 4: Simplify right side
    454,811.40x = 310,280,114,354.94
  5. Step 5: Solve for x
    x = 310,280,114,354.94/454,811.40
  6. Step 6: Final answer
    x = 682,217.10

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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.