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Finding the Fourth Proportional to 273,022.20, 409,533.30 and 257,470.20

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Solution

The fourth proportional to 273,022.20, 409,533.30 and 257,470.20 is: 386,205.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,022.20 : 409,533.30 = 257,470.20 : x
  2. Step 2: Convert to fraction form
    273,022.20/409,533.30 = 257,470.20/x
  3. Step 3: Cross multiply
    273,022.20x = 409,533.30 × 257,470.20
  4. Step 4: Simplify right side
    273,022.20x = 105,442,620,657.66
  5. Step 5: Solve for x
    x = 105,442,620,657.66/273,022.20
  6. Step 6: Final answer
    x = 386,205.30

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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.