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Finding the Fourth Proportional to 929,857, 1,394,785.50 and 229,441

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Solution

The fourth proportional to 929,857, 1,394,785.50 and 229,441 is: 344,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,857 : 1,394,785.50 = 229,441 : x
  2. Step 2: Convert to fraction form
    929,857/1,394,785.50 = 229,441/x
  3. Step 3: Cross multiply
    929,857x = 1,394,785.50 × 229,441
  4. Step 4: Simplify right side
    929,857x = 320,020,979,905.50
  5. Step 5: Solve for x
    x = 320,020,979,905.50/929,857
  6. Step 6: Final answer
    x = 344,161.50

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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.