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Finding the Fourth Proportional to 680,094.14, 938,514.75 and 393,608.48

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Solution

The fourth proportional to 680,094.14, 938,514.75 and 393,608.48 is: 543,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,094.14 : 938,514.75 = 393,608.48 : x
  2. Step 2: Convert to fraction form
    680,094.14/938,514.75 = 393,608.48/x
  3. Step 3: Cross multiply
    680,094.14x = 938,514.75 × 393,608.48
  4. Step 4: Simplify right side
    680,094.14x = 369,407,364,205.08
  5. Step 5: Solve for x
    x = 369,407,364,205.08/680,094.14
  6. Step 6: Final answer
    x = 543,170.93

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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.