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Finding the Fourth Proportional to 313,845.82, 470,659.64 and 133,923.96

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Solution

The fourth proportional to 313,845.82, 470,659.64 and 133,923.96 is: 200,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,845.82 : 470,659.64 = 133,923.96 : x
  2. Step 2: Convert to fraction form
    313,845.82/470,659.64 = 133,923.96/x
  3. Step 3: Cross multiply
    313,845.82x = 470,659.64 × 133,923.96
  4. Step 4: Simplify right side
    313,845.82x = 63,032,602,800.97
  5. Step 5: Solve for x
    x = 63,032,602,800.97/313,845.82
  6. Step 6: Final answer
    x = 200,839.39

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1.5x scale

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.