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Finding the Fourth Proportional to 598,774.12, 826,287.60 and 356,932

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Solution

The fourth proportional to 598,774.12, 826,287.60 and 356,932 is: 492,553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,774.12 : 826,287.60 = 356,932 : x
  2. Step 2: Convert to fraction form
    598,774.12/826,287.60 = 356,932/x
  3. Step 3: Cross multiply
    598,774.12x = 826,287.60 × 356,932
  4. Step 4: Simplify right side
    598,774.12x = 294,928,485,643.20
  5. Step 5: Solve for x
    x = 294,928,485,643.20/598,774.12
  6. Step 6: Final answer
    x = 492,553.83

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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.