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Finding the Fourth Proportional to 288,738.27, 398,271.06 and 185,208.61

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Solution

The fourth proportional to 288,738.27, 398,271.06 and 185,208.61 is: 255,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,738.27 : 398,271.06 = 185,208.61 : x
  2. Step 2: Convert to fraction form
    288,738.27/398,271.06 = 185,208.61/x
  3. Step 3: Cross multiply
    288,738.27x = 398,271.06 × 185,208.61
  4. Step 4: Simplify right side
    288,738.27x = 73,763,229,425.83
  5. Step 5: Solve for x
    x = 73,763,229,425.83/288,738.27
  6. Step 6: Final answer
    x = 255,467.45

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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.