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Finding the Fourth Proportional to 313,702.29, 470,514.56 and 185,694.75

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Solution

The fourth proportional to 313,702.29, 470,514.56 and 185,694.75 is: 278,519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,702.29 : 470,514.56 = 185,694.75 : x
  2. Step 2: Convert to fraction form
    313,702.29/470,514.56 = 185,694.75/x
  3. Step 3: Cross multiply
    313,702.29x = 470,514.56 × 185,694.75
  4. Step 4: Simplify right side
    313,702.29x = 87,372,082,662.09
  5. Step 5: Solve for x
    x = 87,372,082,662.09/313,702.29
  6. Step 6: Final answer
    x = 278,519.11

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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.