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Finding the Fourth Proportional to 590,241.92, 814,532.16 and 321,968

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Solution

The fourth proportional to 590,241.92, 814,532.16 and 321,968 is: 444,314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,241.92 : 814,532.16 = 321,968 : x
  2. Step 2: Convert to fraction form
    590,241.92/814,532.16 = 321,968/x
  3. Step 3: Cross multiply
    590,241.92x = 814,532.16 × 321,968
  4. Step 4: Simplify right side
    590,241.92x = 262,253,290,490.88
  5. Step 5: Solve for x
    x = 262,253,290,490.88/590,241.92
  6. Step 6: Final answer
    x = 444,314.92

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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.