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Finding the Fourth Proportional to 288,509.76, 398,297.76 and 193,178.88

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Solution

The fourth proportional to 288,509.76, 398,297.76 and 193,178.88 is: 266,690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,509.76 : 398,297.76 = 193,178.88 : x
  2. Step 2: Convert to fraction form
    288,509.76/398,297.76 = 193,178.88/x
  3. Step 3: Cross multiply
    288,509.76x = 398,297.76 × 193,178.88
  4. Step 4: Simplify right side
    288,509.76x = 76,942,715,183.31
  5. Step 5: Solve for x
    x = 76,942,715,183.31/288,509.76
  6. Step 6: Final answer
    x = 266,690.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.