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Finding the Fourth Proportional to 474,843.94, 655,283.25 and 259,982.26

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Solution

The fourth proportional to 474,843.94, 655,283.25 and 259,982.26 is: 358,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,843.94 : 655,283.25 = 259,982.26 : x
  2. Step 2: Convert to fraction form
    474,843.94/655,283.25 = 259,982.26/x
  3. Step 3: Cross multiply
    474,843.94x = 655,283.25 × 259,982.26
  4. Step 4: Simplify right side
    474,843.94x = 170,362,020,275.15
  5. Step 5: Solve for x
    x = 170,362,020,275.15/474,843.94
  6. Step 6: Final answer
    x = 358,774.76

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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.