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Finding the Fourth Proportional to 419,011.46, 578,236.28 and 235,224.48

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Solution

The fourth proportional to 419,011.46, 578,236.28 and 235,224.48 is: 324,610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,011.46 : 578,236.28 = 235,224.48 : x
  2. Step 2: Convert to fraction form
    419,011.46/578,236.28 = 235,224.48/x
  3. Step 3: Cross multiply
    419,011.46x = 578,236.28 × 235,224.48
  4. Step 4: Simplify right side
    419,011.46x = 136,015,329,933.97
  5. Step 5: Solve for x
    x = 136,015,329,933.97/419,011.46
  6. Step 6: Final answer
    x = 324,610.05

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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.