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Finding the Fourth Proportional to 314,960.88, 434,633.49 and 185,940.91

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Solution

The fourth proportional to 314,960.88, 434,633.49 and 185,940.91 is: 256,591.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,960.88 : 434,633.49 = 185,940.91 : x
  2. Step 2: Convert to fraction form
    314,960.88/434,633.49 = 185,940.91/x
  3. Step 3: Cross multiply
    314,960.88x = 434,633.49 × 185,940.91
  4. Step 4: Simplify right side
    314,960.88x = 80,816,147,473.50
  5. Step 5: Solve for x
    x = 80,816,147,473.50/314,960.88
  6. Step 6: Final answer
    x = 256,591.07

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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.