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Finding the Fourth Proportional to 288,695, 398,574.06 and 188,267.96

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Solution

The fourth proportional to 288,695, 398,574.06 and 188,267.96 is: 259,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,695 : 398,574.06 = 188,267.96 : x
  2. Step 2: Convert to fraction form
    288,695/398,574.06 = 188,267.96/x
  3. Step 3: Cross multiply
    288,695x = 398,574.06 × 188,267.96
  4. Step 4: Simplify right side
    288,695x = 75,038,725,185.12
  5. Step 5: Solve for x
    x = 75,038,725,185.12/288,695
  6. Step 6: Final answer
    x = 259,923.88

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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.