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Finding the Fourth Proportional to 302,975.46, 417,932.73 and 189,601.38

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Solution

The fourth proportional to 302,975.46, 417,932.73 and 189,601.38 is: 261,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,975.46 : 417,932.73 = 189,601.38 : x
  2. Step 2: Convert to fraction form
    302,975.46/417,932.73 = 189,601.38/x
  3. Step 3: Cross multiply
    302,975.46x = 417,932.73 × 189,601.38
  4. Step 4: Simplify right side
    302,975.46x = 79,240,622,355.17
  5. Step 5: Solve for x
    x = 79,240,622,355.17/302,975.46
  6. Step 6: Final answer
    x = 261,541.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.