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Finding the Fourth Proportional to 414,198.32, 620,702.76 and 177,476.72

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Solution

The fourth proportional to 414,198.32, 620,702.76 and 177,476.72 is: 265,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,198.32 : 620,702.76 = 177,476.72 : x
  2. Step 2: Convert to fraction form
    414,198.32/620,702.76 = 177,476.72/x
  3. Step 3: Cross multiply
    414,198.32x = 620,702.76 × 177,476.72
  4. Step 4: Simplify right side
    414,198.32x = 110,160,289,939.75
  5. Step 5: Solve for x
    x = 110,160,289,939.75/414,198.32
  6. Step 6: Final answer
    x = 265,960.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.