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Finding the Fourth Proportional to 410,724.80, 566,496.96 and 259,676

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Solution

The fourth proportional to 410,724.80, 566,496.96 and 259,676 is: 358,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,724.80 : 566,496.96 = 259,676 : x
  2. Step 2: Convert to fraction form
    410,724.80/566,496.96 = 259,676/x
  3. Step 3: Cross multiply
    410,724.80x = 566,496.96 × 259,676
  4. Step 4: Simplify right side
    410,724.80x = 147,105,664,584.96
  5. Step 5: Solve for x
    x = 147,105,664,584.96/410,724.80
  6. Step 6: Final answer
    x = 358,161.14

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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.