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Finding the Fourth Proportional to 379,036.54, 523,071.54 and 206,956.00

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Solution

The fourth proportional to 379,036.54, 523,071.54 and 206,956.00 is: 285,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,036.54 : 523,071.54 = 206,956.00 : x
  2. Step 2: Convert to fraction form
    379,036.54/523,071.54 = 206,956.00/x
  3. Step 3: Cross multiply
    379,036.54x = 523,071.54 × 206,956.00
  4. Step 4: Simplify right side
    379,036.54x = 108,252,792,324.56
  5. Step 5: Solve for x
    x = 108,252,792,324.56/379,036.54
  6. Step 6: Final answer
    x = 285,599.89

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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.