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Finding the Fourth Proportional to 335,006.42, 462,310.74 and 182,045.88

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Solution

The fourth proportional to 335,006.42, 462,310.74 and 182,045.88 is: 251,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,006.42 : 462,310.74 = 182,045.88 : x
  2. Step 2: Convert to fraction form
    335,006.42/462,310.74 = 182,045.88/x
  3. Step 3: Cross multiply
    335,006.42x = 462,310.74 × 182,045.88
  4. Step 4: Simplify right side
    335,006.42x = 84,161,765,496.75
  5. Step 5: Solve for x
    x = 84,161,765,496.75/335,006.42
  6. Step 6: Final answer
    x = 251,224.34

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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.