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Finding the Fourth Proportional to 313,734.77, 470,273.19 and 153,589.88

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Solution

The fourth proportional to 313,734.77, 470,273.19 and 153,589.88 is: 230,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,734.77 : 470,273.19 = 153,589.88 : x
  2. Step 2: Convert to fraction form
    313,734.77/470,273.19 = 153,589.88/x
  3. Step 3: Cross multiply
    313,734.77x = 470,273.19 × 153,589.88
  4. Step 4: Simplify right side
    313,734.77x = 72,229,200,467.95
  5. Step 5: Solve for x
    x = 72,229,200,467.95/313,734.77
  6. Step 6: Final answer
    x = 230,223.77

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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.