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Finding the Fourth Proportional to 326,073.96, 449,790.94 and 205,023.40

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Solution

The fourth proportional to 326,073.96, 449,790.94 and 205,023.40 is: 282,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,073.96 : 449,790.94 = 205,023.40 : x
  2. Step 2: Convert to fraction form
    326,073.96/449,790.94 = 205,023.40/x
  3. Step 3: Cross multiply
    326,073.96x = 449,790.94 × 205,023.40
  4. Step 4: Simplify right side
    326,073.96x = 92,217,667,808.00
  5. Step 5: Solve for x
    x = 92,217,667,808.00/326,073.96
  6. Step 6: Final answer
    x = 282,812.12

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1.5x scale

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.