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Finding the Fourth Proportional to 384,202.51, 576,238.74 and 140,993.53

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Solution

The fourth proportional to 384,202.51, 576,238.74 and 140,993.53 is: 211,466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,202.51 : 576,238.74 = 140,993.53 : x
  2. Step 2: Convert to fraction form
    384,202.51/576,238.74 = 140,993.53/x
  3. Step 3: Cross multiply
    384,202.51x = 576,238.74 × 140,993.53
  4. Step 4: Simplify right side
    384,202.51x = 81,245,934,075.35
  5. Step 5: Solve for x
    x = 81,245,934,075.35/384,202.51
  6. Step 6: Final answer
    x = 211,466.43

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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.