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Finding the Fourth Proportional to 510,745.50, 765,835.16 and 236,893.01

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Solution

The fourth proportional to 510,745.50, 765,835.16 and 236,893.01 is: 355,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,745.50 : 765,835.16 = 236,893.01 : x
  2. Step 2: Convert to fraction form
    510,745.50/765,835.16 = 236,893.01/x
  3. Step 3: Cross multiply
    510,745.50x = 765,835.16 × 236,893.01
  4. Step 4: Simplify right side
    510,745.50x = 181,420,991,202.59
  5. Step 5: Solve for x
    x = 181,420,991,202.59/510,745.50
  6. Step 6: Final answer
    x = 355,208.20

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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.