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Finding the Fourth Proportional to 313,694.56, 470,543.41 and 77,037.31

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Solution

The fourth proportional to 313,694.56, 470,543.41 and 77,037.31 is: 115,556.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,694.56 : 470,543.41 = 77,037.31 : x
  2. Step 2: Convert to fraction form
    313,694.56/470,543.41 = 77,037.31/x
  3. Step 3: Cross multiply
    313,694.56x = 470,543.41 × 77,037.31
  4. Step 4: Simplify right side
    313,694.56x = 36,249,397,464.57
  5. Step 5: Solve for x
    x = 36,249,397,464.57/313,694.56
  6. Step 6: Final answer
    x = 115,556.35

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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.