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Finding the Fourth Proportional to 513,675.78, 769,469.19 and 419,242.50

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Solution

The fourth proportional to 513,675.78, 769,469.19 and 419,242.50 is: 628,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,675.78 : 769,469.19 = 419,242.50 : x
  2. Step 2: Convert to fraction form
    513,675.78/769,469.19 = 419,242.50/x
  3. Step 3: Cross multiply
    513,675.78x = 769,469.19 × 419,242.50
  4. Step 4: Simplify right side
    513,675.78x = 322,594,186,888.58
  5. Step 5: Solve for x
    x = 322,594,186,888.58/513,675.78
  6. Step 6: Final answer
    x = 628,011.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.