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Finding the Fourth Proportional to 288,847.21, 398,474.82 and 186,905.57

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Solution

The fourth proportional to 288,847.21, 398,474.82 and 186,905.57 is: 257,842.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,847.21 : 398,474.82 = 186,905.57 : x
  2. Step 2: Convert to fraction form
    288,847.21/398,474.82 = 186,905.57/x
  3. Step 3: Cross multiply
    288,847.21x = 398,474.82 × 186,905.57
  4. Step 4: Simplify right side
    288,847.21x = 74,477,164,857.03
  5. Step 5: Solve for x
    x = 74,477,164,857.03/288,847.21
  6. Step 6: Final answer
    x = 257,842.77

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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.