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Finding the Fourth Proportional to 408,047.70, 612,071.55 and 186,863.70

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Solution

The fourth proportional to 408,047.70, 612,071.55 and 186,863.70 is: 280,295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,047.70 : 612,071.55 = 186,863.70 : x
  2. Step 2: Convert to fraction form
    408,047.70/612,071.55 = 186,863.70/x
  3. Step 3: Cross multiply
    408,047.70x = 612,071.55 × 186,863.70
  4. Step 4: Simplify right side
    408,047.70x = 114,373,954,497.74
  5. Step 5: Solve for x
    x = 114,373,954,497.74/408,047.70
  6. Step 6: Final answer
    x = 280,295.55

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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.