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Finding the Fourth Proportional to 401,284.80, 601,951.72 and 135,022.96

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Solution

The fourth proportional to 401,284.80, 601,951.72 and 135,022.96 is: 202,542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,284.80 : 601,951.72 = 135,022.96 : x
  2. Step 2: Convert to fraction form
    401,284.80/601,951.72 = 135,022.96/x
  3. Step 3: Cross multiply
    401,284.80x = 601,951.72 × 135,022.96
  4. Step 4: Simplify right side
    401,284.80x = 81,277,303,011.49
  5. Step 5: Solve for x
    x = 81,277,303,011.49/401,284.80
  6. Step 6: Final answer
    x = 202,542.69

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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.