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Finding the Fourth Proportional to 313,975.47, 470,678.31 and 114,154.68

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Solution

The fourth proportional to 313,975.47, 470,678.31 and 114,154.68 is: 171,128.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,975.47 : 470,678.31 = 114,154.68 : x
  2. Step 2: Convert to fraction form
    313,975.47/470,678.31 = 114,154.68/x
  3. Step 3: Cross multiply
    313,975.47x = 470,678.31 × 114,154.68
  4. Step 4: Simplify right side
    313,975.47x = 53,730,131,860.99
  5. Step 5: Solve for x
    x = 53,730,131,860.99/313,975.47
  6. Step 6: Final answer
    x = 171,128.44

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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.