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Finding the Fourth Proportional to 470,769.22, 706,140.78 and 171,255.34

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Solution

The fourth proportional to 470,769.22, 706,140.78 and 171,255.34 is: 256,878.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,769.22 : 706,140.78 = 171,255.34 : x
  2. Step 2: Convert to fraction form
    470,769.22/706,140.78 = 171,255.34/x
  3. Step 3: Cross multiply
    470,769.22x = 706,140.78 × 171,255.34
  4. Step 4: Simplify right side
    470,769.22x = 120,930,379,366.77
  5. Step 5: Solve for x
    x = 120,930,379,366.77/470,769.22
  6. Step 6: Final answer
    x = 256,878.26

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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.