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Finding the Fourth Proportional to 313,706.39, 470,174.09 and 144,998.51

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Solution

The fourth proportional to 313,706.39, 470,174.09 and 144,998.51 is: 217,319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,706.39 : 470,174.09 = 144,998.51 : x
  2. Step 2: Convert to fraction form
    313,706.39/470,174.09 = 144,998.51/x
  3. Step 3: Cross multiply
    313,706.39x = 470,174.09 × 144,998.51
  4. Step 4: Simplify right side
    313,706.39x = 68,174,539,414.74
  5. Step 5: Solve for x
    x = 68,174,539,414.74/313,706.39
  6. Step 6: Final answer
    x = 217,319.58

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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.