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Finding the Fourth Proportional to 492,348.43, 738,227.40 and 225,775

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Solution

The fourth proportional to 492,348.43, 738,227.40 and 225,775 is: 338,527.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,348.43 : 738,227.40 = 225,775 : x
  2. Step 2: Convert to fraction form
    492,348.43/738,227.40 = 225,775/x
  3. Step 3: Cross multiply
    492,348.43x = 738,227.40 × 225,775
  4. Step 4: Simplify right side
    492,348.43x = 166,673,291,235
  5. Step 5: Solve for x
    x = 166,673,291,235/492,348.43
  6. Step 6: Final answer
    x = 338,527.11

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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.