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Finding the Fourth Proportional to 376,701.22, 519,853.28 and 204,622.54

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Solution

The fourth proportional to 376,701.22, 519,853.28 and 204,622.54 is: 282,382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,701.22 : 519,853.28 = 204,622.54 : x
  2. Step 2: Convert to fraction form
    376,701.22/519,853.28 = 204,622.54/x
  3. Step 3: Cross multiply
    376,701.22x = 519,853.28 × 204,622.54
  4. Step 4: Simplify right side
    376,701.22x = 106,373,696,258.19
  5. Step 5: Solve for x
    x = 106,373,696,258.19/376,701.22
  6. Step 6: Final answer
    x = 282,382.14

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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.