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Finding the Fourth Proportional to 433,953.88, 650,992.44 and 134,458

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Solution

The fourth proportional to 433,953.88, 650,992.44 and 134,458 is: 201,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,953.88 : 650,992.44 = 134,458 : x
  2. Step 2: Convert to fraction form
    433,953.88/650,992.44 = 134,458/x
  3. Step 3: Cross multiply
    433,953.88x = 650,992.44 × 134,458
  4. Step 4: Simplify right side
    433,953.88x = 87,531,141,497.52
  5. Step 5: Solve for x
    x = 87,531,141,497.52/433,953.88
  6. Step 6: Final answer
    x = 201,706.09

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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.