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Finding the Fourth Proportional to 380,728.49, 525,338.71 and 217,310.38

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Solution

The fourth proportional to 380,728.49, 525,338.71 and 217,310.38 is: 299,850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,728.49 : 525,338.71 = 217,310.38 : x
  2. Step 2: Convert to fraction form
    380,728.49/525,338.71 = 217,310.38/x
  3. Step 3: Cross multiply
    380,728.49x = 525,338.71 × 217,310.38
  4. Step 4: Simplify right side
    380,728.49x = 114,161,554,064.56
  5. Step 5: Solve for x
    x = 114,161,554,064.56/380,728.49
  6. Step 6: Final answer
    x = 299,850.31

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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.