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Finding the Fourth Proportional to 951,978.24, 1,428,340.77 and 419,125.50

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Solution

The fourth proportional to 951,978.24, 1,428,340.77 and 419,125.50 is: 628,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,978.24 : 1,428,340.77 = 419,125.50 : x
  2. Step 2: Convert to fraction form
    951,978.24/1,428,340.77 = 419,125.50/x
  3. Step 3: Cross multiply
    951,978.24x = 1,428,340.77 × 419,125.50
  4. Step 4: Simplify right side
    951,978.24x = 598,654,039,396.64
  5. Step 5: Solve for x
    x = 598,654,039,396.64/951,978.24
  6. Step 6: Final answer
    x = 628,852.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.