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Finding the Fourth Proportional to 300,709.71, 414,821.93 and 185,951.75

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Solution

The fourth proportional to 300,709.71, 414,821.93 and 185,951.75 is: 256,516.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,709.71 : 414,821.93 = 185,951.75 : x
  2. Step 2: Convert to fraction form
    300,709.71/414,821.93 = 185,951.75/x
  3. Step 3: Cross multiply
    300,709.71x = 414,821.93 × 185,951.75
  4. Step 4: Simplify right side
    300,709.71x = 77,136,860,818.01
  5. Step 5: Solve for x
    x = 77,136,860,818.01/300,709.71
  6. Step 6: Final answer
    x = 256,516.03

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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.