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Finding the Fourth Proportional to 301,638.42, 451,600.80 and 230,477.94

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Solution

The fourth proportional to 301,638.42, 451,600.80 and 230,477.94 is: 345,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,638.42 : 451,600.80 = 230,477.94 : x
  2. Step 2: Convert to fraction form
    301,638.42/451,600.80 = 230,477.94/x
  3. Step 3: Cross multiply
    301,638.42x = 451,600.80 × 230,477.94
  4. Step 4: Simplify right side
    301,638.42x = 104,084,022,086.35
  5. Step 5: Solve for x
    x = 104,084,022,086.35/301,638.42
  6. Step 6: Final answer
    x = 345,062.22

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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.