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Finding the Fourth Proportional to 321,409.07, 443,534.90 and 176,211.84

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Solution

The fourth proportional to 321,409.07, 443,534.90 and 176,211.84 is: 243,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,409.07 : 443,534.90 = 176,211.84 : x
  2. Step 2: Convert to fraction form
    321,409.07/443,534.90 = 176,211.84/x
  3. Step 3: Cross multiply
    321,409.07x = 443,534.90 × 176,211.84
  4. Step 4: Simplify right side
    321,409.07x = 78,156,100,833.22
  5. Step 5: Solve for x
    x = 78,156,100,833.22/321,409.07
  6. Step 6: Final answer
    x = 243,167.07

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