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Finding the Fourth Proportional to 442,157.63, 610,202.46 and 334,540.82

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Solution

The fourth proportional to 442,157.63, 610,202.46 and 334,540.82 is: 461,685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,157.63 : 610,202.46 = 334,540.82 : x
  2. Step 2: Convert to fraction form
    442,157.63/610,202.46 = 334,540.82/x
  3. Step 3: Cross multiply
    442,157.63x = 610,202.46 × 334,540.82
  4. Step 4: Simplify right side
    442,157.63x = 204,137,631,334.42
  5. Step 5: Solve for x
    x = 204,137,631,334.42/442,157.63
  6. Step 6: Final answer
    x = 461,685.19

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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.