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Finding the Fourth Proportional to 291,826.49, 434,838.75 and 259,991.96

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Solution

The fourth proportional to 291,826.49, 434,838.75 and 259,991.96 is: 387,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,826.49 : 434,838.75 = 259,991.96 : x
  2. Step 2: Convert to fraction form
    291,826.49/434,838.75 = 259,991.96/x
  3. Step 3: Cross multiply
    291,826.49x = 434,838.75 × 259,991.96
  4. Step 4: Simplify right side
    291,826.49x = 113,054,576,722.26
  5. Step 5: Solve for x
    x = 113,054,576,722.26/291,826.49
  6. Step 6: Final answer
    x = 387,403.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.