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Finding the Fourth Proportional to 601,443, 829,991.34 and 333,171

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Solution

The fourth proportional to 601,443, 829,991.34 and 333,171 is: 459,775.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,443 : 829,991.34 = 333,171 : x
  2. Step 2: Convert to fraction form
    601,443/829,991.34 = 333,171/x
  3. Step 3: Cross multiply
    601,443x = 829,991.34 × 333,171
  4. Step 4: Simplify right side
    601,443x = 276,529,044,739.14
  5. Step 5: Solve for x
    x = 276,529,044,739.14/601,443
  6. Step 6: Final answer
    x = 459,775.98

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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.