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Finding the Fourth Proportional to 397,829.56, 596,744.34 and 117,324.94

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Solution

The fourth proportional to 397,829.56, 596,744.34 and 117,324.94 is: 175,987.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,829.56 : 596,744.34 = 117,324.94 : x
  2. Step 2: Convert to fraction form
    397,829.56/596,744.34 = 117,324.94/x
  3. Step 3: Cross multiply
    397,829.56x = 596,744.34 × 117,324.94
  4. Step 4: Simplify right side
    397,829.56x = 70,012,993,885.84
  5. Step 5: Solve for x
    x = 70,012,993,885.84/397,829.56
  6. Step 6: Final answer
    x = 175,987.41

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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.