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Finding the Fourth Proportional to 599,811.84, 827,765.46 and 345,164.04

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Solution

The fourth proportional to 599,811.84, 827,765.46 and 345,164.04 is: 476,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,811.84 : 827,765.46 = 345,164.04 : x
  2. Step 2: Convert to fraction form
    599,811.84/827,765.46 = 345,164.04/x
  3. Step 3: Cross multiply
    599,811.84x = 827,765.46 × 345,164.04
  4. Step 4: Simplify right side
    599,811.84x = 285,714,870,346.06
  5. Step 5: Solve for x
    x = 285,714,870,346.06/599,811.84
  6. Step 6: Final answer
    x = 476,340.83

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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.