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Finding the Fourth Proportional to 376,954.14, 520,200.72 and 204,872.10

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Solution

The fourth proportional to 376,954.14, 520,200.72 and 204,872.10 is: 282,725.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,954.14 : 520,200.72 = 204,872.10 : x
  2. Step 2: Convert to fraction form
    376,954.14/520,200.72 = 204,872.10/x
  3. Step 3: Cross multiply
    376,954.14x = 520,200.72 × 204,872.10
  4. Step 4: Simplify right side
    376,954.14x = 106,574,613,927.91
  5. Step 5: Solve for x
    x = 106,574,613,927.91/376,954.14
  6. Step 6: Final answer
    x = 282,725.68

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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.