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Finding the Fourth Proportional to 362,058.53, 499,649.88 and 200,920.37

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Solution

The fourth proportional to 362,058.53, 499,649.88 and 200,920.37 is: 277,275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,058.53 : 499,649.88 = 200,920.37 : x
  2. Step 2: Convert to fraction form
    362,058.53/499,649.88 = 200,920.37/x
  3. Step 3: Cross multiply
    362,058.53x = 499,649.88 × 200,920.37
  4. Step 4: Simplify right side
    362,058.53x = 100,389,840,383.43
  5. Step 5: Solve for x
    x = 100,389,840,383.43/362,058.53
  6. Step 6: Final answer
    x = 277,275.17

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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.