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Finding the Fourth Proportional to 470,571.36, 705,988.80 and 190,285.44

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Solution

The fourth proportional to 470,571.36, 705,988.80 and 190,285.44 is: 285,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,571.36 : 705,988.80 = 190,285.44 : x
  2. Step 2: Convert to fraction form
    470,571.36/705,988.80 = 190,285.44/x
  3. Step 3: Cross multiply
    470,571.36x = 705,988.80 × 190,285.44
  4. Step 4: Simplify right side
    470,571.36x = 134,339,389,443.07
  5. Step 5: Solve for x
    x = 134,339,389,443.07/470,571.36
  6. Step 6: Final answer
    x = 285,481.44

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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.