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Finding the Fourth Proportional to 302,976.46, 417,934.11 and 189,602.38

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Solution

The fourth proportional to 302,976.46, 417,934.11 and 189,602.38 is: 261,542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,976.46 : 417,934.11 = 189,602.38 : x
  2. Step 2: Convert to fraction form
    302,976.46/417,934.11 = 189,602.38/x
  3. Step 3: Cross multiply
    302,976.46x = 417,934.11 × 189,602.38
  4. Step 4: Simplify right side
    302,976.46x = 79,241,301,939.18
  5. Step 5: Solve for x
    x = 79,241,301,939.18/302,976.46
  6. Step 6: Final answer
    x = 261,542.77

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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.