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Finding the Fourth Proportional to 433,896.64, 650,908.32 and 134,404

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Solution

The fourth proportional to 433,896.64, 650,908.32 and 134,404 is: 201,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,896.64 : 650,908.32 = 134,404 : x
  2. Step 2: Convert to fraction form
    433,896.64/650,908.32 = 134,404/x
  3. Step 3: Cross multiply
    433,896.64x = 650,908.32 × 134,404
  4. Step 4: Simplify right side
    433,896.64x = 87,484,681,841.28
  5. Step 5: Solve for x
    x = 87,484,681,841.28/433,896.64
  6. Step 6: Final answer
    x = 201,625.63

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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.