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Finding the Fourth Proportional to 321,182.48, 443,234.94 and 177,944.48

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Solution

The fourth proportional to 321,182.48, 443,234.94 and 177,944.48 is: 245,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,182.48 : 443,234.94 = 177,944.48 : x
  2. Step 2: Convert to fraction form
    321,182.48/443,234.94 = 177,944.48/x
  3. Step 3: Cross multiply
    321,182.48x = 443,234.94 × 177,944.48
  4. Step 4: Simplify right side
    321,182.48x = 78,871,210,916.13
  5. Step 5: Solve for x
    x = 78,871,210,916.13/321,182.48
  6. Step 6: Final answer
    x = 245,565.11

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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.