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Finding the Fourth Proportional to 294,809.56, 406,711.11 and 192,657.73

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Solution

The fourth proportional to 294,809.56, 406,711.11 and 192,657.73 is: 265,785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,809.56 : 406,711.11 = 192,657.73 : x
  2. Step 2: Convert to fraction form
    294,809.56/406,711.11 = 192,657.73/x
  3. Step 3: Cross multiply
    294,809.56x = 406,711.11 × 192,657.73
  4. Step 4: Simplify right side
    294,809.56x = 78,356,039,218.38
  5. Step 5: Solve for x
    x = 78,356,039,218.38/294,809.56
  6. Step 6: Final answer
    x = 265,785.27

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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.