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Finding the Fourth Proportional to 561,513.87, 774,889.74 and 306,865.26

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Solution

The fourth proportional to 561,513.87, 774,889.74 and 306,865.26 is: 423,474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,513.87 : 774,889.74 = 306,865.26 : x
  2. Step 2: Convert to fraction form
    561,513.87/774,889.74 = 306,865.26/x
  3. Step 3: Cross multiply
    561,513.87x = 774,889.74 × 306,865.26
  4. Step 4: Simplify right side
    561,513.87x = 237,786,741,536.43
  5. Step 5: Solve for x
    x = 237,786,741,536.43/561,513.87
  6. Step 6: Final answer
    x = 423,474.39

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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.