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Finding the Fourth Proportional to 412,683.62, 619,203.62 and 223,277.45

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Solution

The fourth proportional to 412,683.62, 619,203.62 and 223,277.45 is: 335,012.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,683.62 : 619,203.62 = 223,277.45 : x
  2. Step 2: Convert to fraction form
    412,683.62/619,203.62 = 223,277.45/x
  3. Step 3: Cross multiply
    412,683.62x = 619,203.62 × 223,277.45
  4. Step 4: Simplify right side
    412,683.62x = 138,254,202,766.55
  5. Step 5: Solve for x
    x = 138,254,202,766.55/412,683.62
  6. Step 6: Final answer
    x = 335,012.58

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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.