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Finding the Fourth Proportional to 362,058.66, 499,633.38 and 200,912.40

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Solution

The fourth proportional to 362,058.66, 499,633.38 and 200,912.40 is: 277,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,058.66 : 499,633.38 = 200,912.40 : x
  2. Step 2: Convert to fraction form
    362,058.66/499,633.38 = 200,912.40/x
  3. Step 3: Cross multiply
    362,058.66x = 499,633.38 × 200,912.40
  4. Step 4: Simplify right side
    362,058.66x = 100,382,541,495.91
  5. Step 5: Solve for x
    x = 100,382,541,495.91/362,058.66
  6. Step 6: Final answer
    x = 277,254.91

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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.