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Finding the Fourth Proportional to 494,762.86, 741,682.58 and 195,245.92

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Solution

The fourth proportional to 494,762.86, 741,682.58 and 195,245.92 is: 292,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,762.86 : 741,682.58 = 195,245.92 : x
  2. Step 2: Convert to fraction form
    494,762.86/741,682.58 = 195,245.92/x
  3. Step 3: Cross multiply
    494,762.86x = 741,682.58 × 195,245.92
  4. Step 4: Simplify right side
    494,762.86x = 144,810,493,971.66
  5. Step 5: Solve for x
    x = 144,810,493,971.66/494,762.86
  6. Step 6: Final answer
    x = 292,686.67

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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.