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Finding the Fourth Proportional to 304,096, 419,665.44 and 169,960

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Solution

The fourth proportional to 304,096, 419,665.44 and 169,960 is: 234,552.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,096 : 419,665.44 = 169,960 : x
  2. Step 2: Convert to fraction form
    304,096/419,665.44 = 169,960/x
  3. Step 3: Cross multiply
    304,096x = 419,665.44 × 169,960
  4. Step 4: Simplify right side
    304,096x = 71,326,338,182.40
  5. Step 5: Solve for x
    x = 71,326,338,182.40/304,096
  6. Step 6: Final answer
    x = 234,552.04

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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.