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Finding the Fourth Proportional to 419,369.54, 628,561.56 and 194,254.34

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Solution

The fourth proportional to 419,369.54, 628,561.56 and 194,254.34 is: 291,153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,369.54 : 628,561.56 = 194,254.34 : x
  2. Step 2: Convert to fraction form
    419,369.54/628,561.56 = 194,254.34/x
  3. Step 3: Cross multiply
    419,369.54x = 628,561.56 × 194,254.34
  4. Step 4: Simplify right side
    419,369.54x = 122,100,810,987.17
  5. Step 5: Solve for x
    x = 122,100,810,987.17/419,369.54
  6. Step 6: Final answer
    x = 291,153.27

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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.