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Finding the Fourth Proportional to 448,094.18, 617,954.46 and 327,043.82

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Solution

The fourth proportional to 448,094.18, 617,954.46 and 327,043.82 is: 451,017.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,094.18 : 617,954.46 = 327,043.82 : x
  2. Step 2: Convert to fraction form
    448,094.18/617,954.46 = 327,043.82/x
  3. Step 3: Cross multiply
    448,094.18x = 617,954.46 × 327,043.82
  4. Step 4: Simplify right side
    448,094.18x = 202,098,187,184.44
  5. Step 5: Solve for x
    x = 202,098,187,184.44/448,094.18
  6. Step 6: Final answer
    x = 451,017.21

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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.