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Finding the Fourth Proportional to 533,550.40, 800,325.61 and 218,007

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Solution

The fourth proportional to 533,550.40, 800,325.61 and 218,007 is: 327,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,550.40 : 800,325.61 = 218,007 : x
  2. Step 2: Convert to fraction form
    533,550.40/800,325.61 = 218,007/x
  3. Step 3: Cross multiply
    533,550.40x = 800,325.61 × 218,007
  4. Step 4: Simplify right side
    533,550.40x = 174,476,584,714.25
  5. Step 5: Solve for x
    x = 174,476,584,714.25/533,550.40
  6. Step 6: Final answer
    x = 327,010.50

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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.