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Finding the Fourth Proportional to 313,899.80, 470,906.10 and 114,499.92

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Solution

The fourth proportional to 313,899.80, 470,906.10 and 114,499.92 is: 171,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,899.80 : 470,906.10 = 114,499.92 : x
  2. Step 2: Convert to fraction form
    313,899.80/470,906.10 = 114,499.92/x
  3. Step 3: Cross multiply
    313,899.80x = 470,906.10 × 114,499.92
  4. Step 4: Simplify right side
    313,899.80x = 53,918,710,777.51
  5. Step 5: Solve for x
    x = 53,918,710,777.51/313,899.80
  6. Step 6: Final answer
    x = 171,770.45

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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.