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Finding the Fourth Proportional to 409,352.68, 564,523.54 and 323,516.73

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Solution

The fourth proportional to 409,352.68, 564,523.54 and 323,516.73 is: 446,150.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,352.68 : 564,523.54 = 323,516.73 : x
  2. Step 2: Convert to fraction form
    409,352.68/564,523.54 = 323,516.73/x
  3. Step 3: Cross multiply
    409,352.68x = 564,523.54 × 323,516.73
  4. Step 4: Simplify right side
    409,352.68x = 182,632,811,209.06
  5. Step 5: Solve for x
    x = 182,632,811,209.06/409,352.68
  6. Step 6: Final answer
    x = 446,150.27

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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.