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Finding the Fourth Proportional to 312,817.14, 468,910.20 and 123,204.24

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Solution

The fourth proportional to 312,817.14, 468,910.20 and 123,204.24 is: 184,682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,817.14 : 468,910.20 = 123,204.24 : x
  2. Step 2: Convert to fraction form
    312,817.14/468,910.20 = 123,204.24/x
  3. Step 3: Cross multiply
    312,817.14x = 468,910.20 × 123,204.24
  4. Step 4: Simplify right side
    312,817.14x = 57,771,724,819.25
  5. Step 5: Solve for x
    x = 57,771,724,819.25/312,817.14
  6. Step 6: Final answer
    x = 184,682.10

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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.