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Finding the Fourth Proportional to 277,206.57, 382,457.75 and 169,664.49

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Solution

The fourth proportional to 277,206.57, 382,457.75 and 169,664.49 is: 234,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,206.57 : 382,457.75 = 169,664.49 : x
  2. Step 2: Convert to fraction form
    277,206.57/382,457.75 = 169,664.49/x
  3. Step 3: Cross multiply
    277,206.57x = 382,457.75 × 169,664.49
  4. Step 4: Simplify right side
    277,206.57x = 64,889,498,251.98
  5. Step 5: Solve for x
    x = 64,889,498,251.98/277,206.57
  6. Step 6: Final answer
    x = 234,083.55

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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.