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Finding the Fourth Proportional to 285,944.51, 428,617.49 and 96,339.37

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Solution

The fourth proportional to 285,944.51, 428,617.49 and 96,339.37 is: 144,408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,944.51 : 428,617.49 = 96,339.37 : x
  2. Step 2: Convert to fraction form
    285,944.51/428,617.49 = 96,339.37/x
  3. Step 3: Cross multiply
    285,944.51x = 428,617.49 × 96,339.37
  4. Step 4: Simplify right side
    285,944.51x = 41,292,739,372.93
  5. Step 5: Solve for x
    x = 41,292,739,372.93/285,944.51
  6. Step 6: Final answer
    x = 144,408.23

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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.