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Finding the Fourth Proportional to 422,990.14, 583,865.96 and 378,149.80

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Solution

The fourth proportional to 422,990.14, 583,865.96 and 378,149.80 is: 521,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,990.14 : 583,865.96 = 378,149.80 : x
  2. Step 2: Convert to fraction form
    422,990.14/583,865.96 = 378,149.80/x
  3. Step 3: Cross multiply
    422,990.14x = 583,865.96 × 378,149.80
  4. Step 4: Simplify right side
    422,990.14x = 220,788,796,000.81
  5. Step 5: Solve for x
    x = 220,788,796,000.81/422,990.14
  6. Step 6: Final answer
    x = 521,971.50

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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.