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Finding the Fourth Proportional to 467,426.34, 646,138.01 and 416,939.44

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Solution

The fourth proportional to 467,426.34, 646,138.01 and 416,939.44 is: 576,348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,426.34 : 646,138.01 = 416,939.44 : x
  2. Step 2: Convert to fraction form
    467,426.34/646,138.01 = 416,939.44/x
  3. Step 3: Cross multiply
    467,426.34x = 646,138.01 × 416,939.44
  4. Step 4: Simplify right side
    467,426.34x = 269,400,420,052.11
  5. Step 5: Solve for x
    x = 269,400,420,052.11/467,426.34
  6. Step 6: Final answer
    x = 576,348.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.