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Finding the Fourth Proportional to 424,450, 585,824.21 and 243,283.38

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Solution

The fourth proportional to 424,450, 585,824.21 and 243,283.38 is: 335,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,450 : 585,824.21 = 243,283.38 : x
  2. Step 2: Convert to fraction form
    424,450/585,824.21 = 243,283.38/x
  3. Step 3: Cross multiply
    424,450x = 585,824.21 × 243,283.38
  4. Step 4: Simplify right side
    424,450x = 142,521,293,894.63
  5. Step 5: Solve for x
    x = 142,521,293,894.63/424,450
  6. Step 6: Final answer
    x = 335,778.76

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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.