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Finding the Fourth Proportional to 643,714.20, 965,571.30 and 405,768.60

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Solution

The fourth proportional to 643,714.20, 965,571.30 and 405,768.60 is: 608,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,714.20 : 965,571.30 = 405,768.60 : x
  2. Step 2: Convert to fraction form
    643,714.20/965,571.30 = 405,768.60/x
  3. Step 3: Cross multiply
    643,714.20x = 965,571.30 × 405,768.60
  4. Step 4: Simplify right side
    643,714.20x = 391,798,514,601.18
  5. Step 5: Solve for x
    x = 391,798,514,601.18/643,714.20
  6. Step 6: Final answer
    x = 608,652.90

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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.