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Finding the Fourth Proportional to 298,568.98, 412,026.38 and 177,709.69

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Solution

The fourth proportional to 298,568.98, 412,026.38 and 177,709.69 is: 245,240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,568.98 : 412,026.38 = 177,709.69 : x
  2. Step 2: Convert to fraction form
    298,568.98/412,026.38 = 177,709.69/x
  3. Step 3: Cross multiply
    298,568.98x = 412,026.38 × 177,709.69
  4. Step 4: Simplify right side
    298,568.98x = 73,221,080,261.62
  5. Step 5: Solve for x
    x = 73,221,080,261.62/298,568.98
  6. Step 6: Final answer
    x = 245,240.08

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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.