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Finding the Fourth Proportional to 475,766.82, 713,650.50 and 143,342.82

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Solution

The fourth proportional to 475,766.82, 713,650.50 and 143,342.82 is: 215,014.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,766.82 : 713,650.50 = 143,342.82 : x
  2. Step 2: Convert to fraction form
    475,766.82/713,650.50 = 143,342.82/x
  3. Step 3: Cross multiply
    475,766.82x = 713,650.50 × 143,342.82
  4. Step 4: Simplify right side
    475,766.82x = 102,296,675,164.41
  5. Step 5: Solve for x
    x = 102,296,675,164.41/475,766.82
  6. Step 6: Final answer
    x = 215,014.31

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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.