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Finding the Fourth Proportional to 454,967.70, 682,014.15 and 353,709.60

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Solution

The fourth proportional to 454,967.70, 682,014.15 and 353,709.60 is: 530,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,967.70 : 682,014.15 = 353,709.60 : x
  2. Step 2: Convert to fraction form
    454,967.70/682,014.15 = 353,709.60/x
  3. Step 3: Cross multiply
    454,967.70x = 682,014.15 × 353,709.60
  4. Step 4: Simplify right side
    454,967.70x = 241,234,952,190.84
  5. Step 5: Solve for x
    x = 241,234,952,190.84/454,967.70
  6. Step 6: Final answer
    x = 530,224.35

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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.