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Finding the Fourth Proportional to 463,014.80, 694,522.20 and 458,099.60

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Solution

The fourth proportional to 463,014.80, 694,522.20 and 458,099.60 is: 687,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,014.80 : 694,522.20 = 458,099.60 : x
  2. Step 2: Convert to fraction form
    463,014.80/694,522.20 = 458,099.60/x
  3. Step 3: Cross multiply
    463,014.80x = 694,522.20 × 458,099.60
  4. Step 4: Simplify right side
    463,014.80x = 318,160,342,011.12
  5. Step 5: Solve for x
    x = 318,160,342,011.12/463,014.80
  6. Step 6: Final answer
    x = 687,149.40

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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.