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Finding the Fourth Proportional to 301,635.41, 451,596.31 and 230,474.93

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Solution

The fourth proportional to 301,635.41, 451,596.31 and 230,474.93 is: 345,057.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,635.41 : 451,596.31 = 230,474.93 : x
  2. Step 2: Convert to fraction form
    301,635.41/451,596.31 = 230,474.93/x
  3. Step 3: Cross multiply
    301,635.41x = 451,596.31 × 230,474.93
  4. Step 4: Simplify right side
    301,635.41x = 104,081,627,935.51
  5. Step 5: Solve for x
    x = 104,081,627,935.51/301,635.41
  6. Step 6: Final answer
    x = 345,057.72

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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.