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Finding the Fourth Proportional to 400,852.80, 601,279.20 and 134,585.55

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Solution

The fourth proportional to 400,852.80, 601,279.20 and 134,585.55 is: 201,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,852.80 : 601,279.20 = 134,585.55 : x
  2. Step 2: Convert to fraction form
    400,852.80/601,279.20 = 134,585.55/x
  3. Step 3: Cross multiply
    400,852.80x = 601,279.20 × 134,585.55
  4. Step 4: Simplify right side
    400,852.80x = 80,923,491,835.56
  5. Step 5: Solve for x
    x = 80,923,491,835.56/400,852.80
  6. Step 6: Final answer
    x = 201,878.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.