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Finding the Fourth Proportional to 560,945.14, 774,104.25 and 306,296.56

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Solution

The fourth proportional to 560,945.14, 774,104.25 and 306,296.56 is: 422,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,945.14 : 774,104.25 = 306,296.56 : x
  2. Step 2: Convert to fraction form
    560,945.14/774,104.25 = 306,296.56/x
  3. Step 3: Cross multiply
    560,945.14x = 774,104.25 × 306,296.56
  4. Step 4: Simplify right side
    560,945.14x = 237,105,468,856.38
  5. Step 5: Solve for x
    x = 237,105,468,856.38/560,945.14
  6. Step 6: Final answer
    x = 422,689.23

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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.