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Finding the Fourth Proportional to 597,847.36, 897,035.16 and 313,469.92

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Solution

The fourth proportional to 597,847.36, 897,035.16 and 313,469.92 is: 470,343.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,847.36 : 897,035.16 = 313,469.92 : x
  2. Step 2: Convert to fraction form
    597,847.36/897,035.16 = 313,469.92/x
  3. Step 3: Cross multiply
    597,847.36x = 897,035.16 × 313,469.92
  4. Step 4: Simplify right side
    597,847.36x = 281,193,539,842.39
  5. Step 5: Solve for x
    x = 281,193,539,842.39/597,847.36
  6. Step 6: Final answer
    x = 470,343.37

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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.