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Finding the Fourth Proportional to 404,494.20, 558,313.02 and 234,783

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Solution

The fourth proportional to 404,494.20, 558,313.02 and 234,783 is: 324,064.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,494.20 : 558,313.02 = 234,783 : x
  2. Step 2: Convert to fraction form
    404,494.20/558,313.02 = 234,783/x
  3. Step 3: Cross multiply
    404,494.20x = 558,313.02 × 234,783
  4. Step 4: Simplify right side
    404,494.20x = 131,082,405,774.66
  5. Step 5: Solve for x
    x = 131,082,405,774.66/404,494.20
  6. Step 6: Final answer
    x = 324,064.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.