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Finding the Fourth Proportional to 224,792.80, 335,549.32 and 196,417

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Solution

The fourth proportional to 224,792.80, 335,549.32 and 196,417 is: 293,192.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,792.80 : 335,549.32 = 196,417 : x
  2. Step 2: Convert to fraction form
    224,792.80/335,549.32 = 196,417/x
  3. Step 3: Cross multiply
    224,792.80x = 335,549.32 × 196,417
  4. Step 4: Simplify right side
    224,792.80x = 65,907,590,786.44
  5. Step 5: Solve for x
    x = 65,907,590,786.44/224,792.80
  6. Step 6: Final answer
    x = 293,192.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.