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Finding the Fourth Proportional to 470,084.43, 705,036.46 and 133,043.70

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Solution

The fourth proportional to 470,084.43, 705,036.46 and 133,043.70 is: 199,540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,084.43 : 705,036.46 = 133,043.70 : x
  2. Step 2: Convert to fraction form
    470,084.43/705,036.46 = 133,043.70/x
  3. Step 3: Cross multiply
    470,084.43x = 705,036.46 × 133,043.70
  4. Step 4: Simplify right side
    470,084.43x = 93,800,659,273.30
  5. Step 5: Solve for x
    x = 93,800,659,273.30/470,084.43
  6. Step 6: Final answer
    x = 199,540.03

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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.