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Finding the Fourth Proportional to 470,400.24, 705,546.90 and 133,469.40

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Solution

The fourth proportional to 470,400.24, 705,546.90 and 133,469.40 is: 200,188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,400.24 : 705,546.90 = 133,469.40 : x
  2. Step 2: Convert to fraction form
    470,400.24/705,546.90 = 133,469.40/x
  3. Step 3: Cross multiply
    470,400.24x = 705,546.90 × 133,469.40
  4. Step 4: Simplify right side
    470,400.24x = 94,168,921,414.86
  5. Step 5: Solve for x
    x = 94,168,921,414.86/470,400.24
  6. Step 6: Final answer
    x = 200,188.93

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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.