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Finding the Fourth Proportional to 463,586.40, 694,861.20 and 264,002.40

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Solution

The fourth proportional to 463,586.40, 694,861.20 and 264,002.40 is: 395,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,586.40 : 694,861.20 = 264,002.40 : x
  2. Step 2: Convert to fraction form
    463,586.40/694,861.20 = 264,002.40/x
  3. Step 3: Cross multiply
    463,586.40x = 694,861.20 × 264,002.40
  4. Step 4: Simplify right side
    463,586.40x = 183,445,024,466.88
  5. Step 5: Solve for x
    x = 183,445,024,466.88/463,586.40
  6. Step 6: Final answer
    x = 395,708.38

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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.