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Finding the Fourth Proportional to 327,970.70, 492,042.45 and 117,586.70

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Solution

The fourth proportional to 327,970.70, 492,042.45 and 117,586.70 is: 176,411.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,970.70 : 492,042.45 = 117,586.70 : x
  2. Step 2: Convert to fraction form
    327,970.70/492,042.45 = 117,586.70/x
  3. Step 3: Cross multiply
    327,970.70x = 492,042.45 × 117,586.70
  4. Step 4: Simplify right side
    327,970.70x = 57,857,647,955.42
  5. Step 5: Solve for x
    x = 57,857,647,955.42/327,970.70
  6. Step 6: Final answer
    x = 176,411.03

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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.