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Finding the Fourth Proportional to 433,480.60, 650,317.78 and 209,029.82

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Solution

The fourth proportional to 433,480.60, 650,317.78 and 209,029.82 is: 313,591.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,480.60 : 650,317.78 = 209,029.82 : x
  2. Step 2: Convert to fraction form
    433,480.60/650,317.78 = 209,029.82/x
  3. Step 3: Cross multiply
    433,480.60x = 650,317.78 × 209,029.82
  4. Step 4: Simplify right side
    433,480.60x = 135,935,804,624.05
  5. Step 5: Solve for x
    x = 135,935,804,624.05/433,480.60
  6. Step 6: Final answer
    x = 313,591.44

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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.