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Finding the Fourth Proportional to 305,462, 458,201.64 and 83,846

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Solution

The fourth proportional to 305,462, 458,201.64 and 83,846 is: 125,771.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,462 : 458,201.64 = 83,846 : x
  2. Step 2: Convert to fraction form
    305,462/458,201.64 = 83,846/x
  3. Step 3: Cross multiply
    305,462x = 458,201.64 × 83,846
  4. Step 4: Simplify right side
    305,462x = 38,418,374,707.44
  5. Step 5: Solve for x
    x = 38,418,374,707.44/305,462
  6. Step 6: Final answer
    x = 125,771.37

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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.