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Finding the Fourth Proportional to 285,516.80, 394,205.64 and 255,204.98

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Solution

The fourth proportional to 285,516.80, 394,205.64 and 255,204.98 is: 352,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,516.80 : 394,205.64 = 255,204.98 : x
  2. Step 2: Convert to fraction form
    285,516.80/394,205.64 = 255,204.98/x
  3. Step 3: Cross multiply
    285,516.80x = 394,205.64 × 255,204.98
  4. Step 4: Simplify right side
    285,516.80x = 100,603,242,472.09
  5. Step 5: Solve for x
    x = 100,603,242,472.09/285,516.80
  6. Step 6: Final answer
    x = 352,354.90

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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.