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Finding the Fourth Proportional to 393,764.64, 543,206.04 and 257,738.64

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Solution

The fourth proportional to 393,764.64, 543,206.04 and 257,738.64 is: 355,555.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,764.64 : 543,206.04 = 257,738.64 : x
  2. Step 2: Convert to fraction form
    393,764.64/543,206.04 = 257,738.64/x
  3. Step 3: Cross multiply
    393,764.64x = 543,206.04 × 257,738.64
  4. Step 4: Simplify right side
    393,764.64x = 140,005,185,989.39
  5. Step 5: Solve for x
    x = 140,005,185,989.39/393,764.64
  6. Step 6: Final answer
    x = 355,555.51

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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.