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Finding the Fourth Proportional to 327,953.72, 492,193.02 and 170,227.28

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Solution

The fourth proportional to 327,953.72, 492,193.02 and 170,227.28 is: 255,477.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,953.72 : 492,193.02 = 170,227.28 : x
  2. Step 2: Convert to fraction form
    327,953.72/492,193.02 = 170,227.28/x
  3. Step 3: Cross multiply
    327,953.72x = 492,193.02 × 170,227.28
  4. Step 4: Simplify right side
    327,953.72x = 83,784,680,898.42
  5. Step 5: Solve for x
    x = 83,784,680,898.42/327,953.72
  6. Step 6: Final answer
    x = 255,477.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.