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Finding the Fourth Proportional to 302,977.46, 417,935.49 and 189,603.38

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Solution

The fourth proportional to 302,977.46, 417,935.49 and 189,603.38 is: 261,544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,977.46 : 417,935.49 = 189,603.38 : x
  2. Step 2: Convert to fraction form
    302,977.46/417,935.49 = 189,603.38/x
  3. Step 3: Cross multiply
    302,977.46x = 417,935.49 × 189,603.38
  4. Step 4: Simplify right side
    302,977.46x = 79,241,981,525.96
  5. Step 5: Solve for x
    x = 79,241,981,525.96/302,977.46
  6. Step 6: Final answer
    x = 261,544.15

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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.