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Finding the Fourth Proportional to 263,807.84, 395,711.91 and 185,272.67

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Solution

The fourth proportional to 263,807.84, 395,711.91 and 185,272.67 is: 277,909.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,807.84 : 395,711.91 = 185,272.67 : x
  2. Step 2: Convert to fraction form
    263,807.84/395,711.91 = 185,272.67/x
  3. Step 3: Cross multiply
    263,807.84x = 395,711.91 × 185,272.67
  4. Step 4: Simplify right side
    263,807.84x = 73,314,600,137.94
  5. Step 5: Solve for x
    x = 73,314,600,137.94/263,807.84
  6. Step 6: Final answer
    x = 277,909.11

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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.