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Finding the Fourth Proportional to 560,958.14, 774,122.16 and 306,309.56

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Solution

The fourth proportional to 560,958.14, 774,122.16 and 306,309.56 is: 422,707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,958.14 : 774,122.16 = 306,309.56 : x
  2. Step 2: Convert to fraction form
    560,958.14/774,122.16 = 306,309.56/x
  3. Step 3: Cross multiply
    560,958.14x = 774,122.16 × 306,309.56
  4. Step 4: Simplify right side
    560,958.14x = 237,121,018,215.85
  5. Step 5: Solve for x
    x = 237,121,018,215.85/560,958.14
  6. Step 6: Final answer
    x = 422,707.15

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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.