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Finding the Fourth Proportional to 313,822.83, 470,730.15 and 77,167.56

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Solution

The fourth proportional to 313,822.83, 470,730.15 and 77,167.56 is: 115,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,822.83 : 470,730.15 = 77,167.56 : x
  2. Step 2: Convert to fraction form
    313,822.83/470,730.15 = 77,167.56/x
  3. Step 3: Cross multiply
    313,822.83x = 470,730.15 × 77,167.56
  4. Step 4: Simplify right side
    313,822.83x = 36,325,097,093.93
  5. Step 5: Solve for x
    x = 36,325,097,093.93/313,822.83
  6. Step 6: Final answer
    x = 115,750.33

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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.