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Finding the Fourth Proportional to 313,685.46, 470,556.54 and 89,048.16

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Solution

The fourth proportional to 313,685.46, 470,556.54 and 89,048.16 is: 133,580.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,685.46 : 470,556.54 = 89,048.16 : x
  2. Step 2: Convert to fraction form
    313,685.46/470,556.54 = 89,048.16/x
  3. Step 3: Cross multiply
    313,685.46x = 470,556.54 × 89,048.16
  4. Step 4: Simplify right side
    313,685.46x = 41,902,194,062.97
  5. Step 5: Solve for x
    x = 41,902,194,062.97/313,685.46
  6. Step 6: Final answer
    x = 133,580.29

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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.