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Finding the Fourth Proportional to 313,736.90, 470,661.84 and 114,337.17

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Solution

The fourth proportional to 313,736.90, 470,661.84 and 114,337.17 is: 171,526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,736.90 : 470,661.84 = 114,337.17 : x
  2. Step 2: Convert to fraction form
    313,736.90/470,661.84 = 114,337.17/x
  3. Step 3: Cross multiply
    313,736.90x = 470,661.84 × 114,337.17
  4. Step 4: Simplify right side
    313,736.90x = 53,814,142,812.59
  5. Step 5: Solve for x
    x = 53,814,142,812.59/313,736.90
  6. Step 6: Final answer
    x = 171,526.34

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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.