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Finding the Fourth Proportional to 410,339.18, 566,568.07 and 265,230.82

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Solution

The fourth proportional to 410,339.18, 566,568.07 and 265,230.82 is: 366,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,339.18 : 566,568.07 = 265,230.82 : x
  2. Step 2: Convert to fraction form
    410,339.18/566,568.07 = 265,230.82/x
  3. Step 3: Cross multiply
    410,339.18x = 566,568.07 × 265,230.82
  4. Step 4: Simplify right side
    410,339.18x = 150,271,313,837.05
  5. Step 5: Solve for x
    x = 150,271,313,837.05/410,339.18
  6. Step 6: Final answer
    x = 366,212.44

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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.