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Finding the Fourth Proportional to 284,847.76, 393,089.34 and 163,945

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Solution

The fourth proportional to 284,847.76, 393,089.34 and 163,945 is: 226,243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,847.76 : 393,089.34 = 163,945 : x
  2. Step 2: Convert to fraction form
    284,847.76/393,089.34 = 163,945/x
  3. Step 3: Cross multiply
    284,847.76x = 393,089.34 × 163,945
  4. Step 4: Simplify right side
    284,847.76x = 64,445,031,846.30
  5. Step 5: Solve for x
    x = 64,445,031,846.30/284,847.76
  6. Step 6: Final answer
    x = 226,243.77

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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.