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Finding the Fourth Proportional to 419,362.56, 578,766.60 and 258,185.52

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Solution

The fourth proportional to 419,362.56, 578,766.60 and 258,185.52 is: 356,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,362.56 : 578,766.60 = 258,185.52 : x
  2. Step 2: Convert to fraction form
    419,362.56/578,766.60 = 258,185.52/x
  3. Step 3: Cross multiply
    419,362.56x = 578,766.60 × 258,185.52
  4. Step 4: Simplify right side
    419,362.56x = 149,429,155,579.63
  5. Step 5: Solve for x
    x = 149,429,155,579.63/419,362.56
  6. Step 6: Final answer
    x = 356,324.50

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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.