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Finding the Fourth Proportional to 598,400.47, 825,679.83 and 356,705.56

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Solution

The fourth proportional to 598,400.47, 825,679.83 and 356,705.56 is: 492,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,400.47 : 825,679.83 = 356,705.56 : x
  2. Step 2: Convert to fraction form
    598,400.47/825,679.83 = 356,705.56/x
  3. Step 3: Cross multiply
    598,400.47x = 825,679.83 × 356,705.56
  4. Step 4: Simplify right side
    598,400.47x = 294,524,586,140.86
  5. Step 5: Solve for x
    x = 294,524,586,140.86/598,400.47
  6. Step 6: Final answer
    x = 492,186.42

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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.