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Finding the Fourth Proportional to 326,082.96, 449,803.36 and 205,032.40

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Solution

The fourth proportional to 326,082.96, 449,803.36 and 205,032.40 is: 282,824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,082.96 : 449,803.36 = 205,032.40 : x
  2. Step 2: Convert to fraction form
    326,082.96/449,803.36 = 205,032.40/x
  3. Step 3: Cross multiply
    326,082.96x = 449,803.36 × 205,032.40
  4. Step 4: Simplify right side
    326,082.96x = 92,224,262,428.86
  5. Step 5: Solve for x
    x = 92,224,262,428.86/326,082.96
  6. Step 6: Final answer
    x = 282,824.54

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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.