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Finding the Fourth Proportional to 341,206.48, 470,861.68 and 188,245.90

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Solution

The fourth proportional to 341,206.48, 470,861.68 and 188,245.90 is: 259,777.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,206.48 : 470,861.68 = 188,245.90 : x
  2. Step 2: Convert to fraction form
    341,206.48/470,861.68 = 188,245.90/x
  3. Step 3: Cross multiply
    341,206.48x = 470,861.68 × 188,245.90
  4. Step 4: Simplify right side
    341,206.48x = 88,637,780,727.11
  5. Step 5: Solve for x
    x = 88,637,780,727.11/341,206.48
  6. Step 6: Final answer
    x = 259,777.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.