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Finding the Fourth Proportional to 597,674.89, 896,777.31 and 313,297.56

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Solution

The fourth proportional to 597,674.89, 896,777.31 and 313,297.56 is: 470,085.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,674.89 : 896,777.31 = 313,297.56 : x
  2. Step 2: Convert to fraction form
    597,674.89/896,777.31 = 313,297.56/x
  3. Step 3: Cross multiply
    597,674.89x = 896,777.31 × 313,297.56
  4. Step 4: Simplify right side
    597,674.89x = 280,958,144,261.23
  5. Step 5: Solve for x
    x = 280,958,144,261.23/597,674.89
  6. Step 6: Final answer
    x = 470,085.24

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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.