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Finding the Fourth Proportional to 313,324.51, 470,164.52 and 169,228.55

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Solution

The fourth proportional to 313,324.51, 470,164.52 and 169,228.55 is: 253,938.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,324.51 : 470,164.52 = 169,228.55 : x
  2. Step 2: Convert to fraction form
    313,324.51/470,164.52 = 169,228.55/x
  3. Step 3: Cross multiply
    313,324.51x = 470,164.52 × 169,228.55
  4. Step 4: Simplify right side
    313,324.51x = 79,565,259,981.05
  5. Step 5: Solve for x
    x = 79,565,259,981.05/313,324.51
  6. Step 6: Final answer
    x = 253,938.83

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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.