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Finding the Fourth Proportional to 598,362.89, 825,659.11 and 343,714.08

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Solution

The fourth proportional to 598,362.89, 825,659.11 and 343,714.08 is: 474,278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,362.89 : 825,659.11 = 343,714.08 : x
  2. Step 2: Convert to fraction form
    598,362.89/825,659.11 = 343,714.08/x
  3. Step 3: Cross multiply
    598,362.89x = 825,659.11 × 343,714.08
  4. Step 4: Simplify right side
    598,362.89x = 283,790,659,668.70
  5. Step 5: Solve for x
    x = 283,790,659,668.70/598,362.89
  6. Step 6: Final answer
    x = 474,278.51

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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.