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Finding the Fourth Proportional to 427,448.62, 589,876.94 and 233,852.82

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Solution

The fourth proportional to 427,448.62, 589,876.94 and 233,852.82 is: 322,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,448.62 : 589,876.94 = 233,852.82 : x
  2. Step 2: Convert to fraction form
    427,448.62/589,876.94 = 233,852.82/x
  3. Step 3: Cross multiply
    427,448.62x = 589,876.94 × 233,852.82
  4. Step 4: Simplify right side
    427,448.62x = 137,944,384,244.56
  5. Step 5: Solve for x
    x = 137,944,384,244.56/427,448.62
  6. Step 6: Final answer
    x = 322,715.71

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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.