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Finding the Fourth Proportional to 380,939.45, 525,590.03 and 300,116.09

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Solution

The fourth proportional to 380,939.45, 525,590.03 and 300,116.09 is: 414,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,939.45 : 525,590.03 = 300,116.09 : x
  2. Step 2: Convert to fraction form
    380,939.45/525,590.03 = 300,116.09/x
  3. Step 3: Cross multiply
    380,939.45x = 525,590.03 × 300,116.09
  4. Step 4: Simplify right side
    380,939.45x = 157,738,026,810.85
  5. Step 5: Solve for x
    x = 157,738,026,810.85/380,939.45
  6. Step 6: Final answer
    x = 414,076.38

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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.