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Finding the Fourth Proportional to 504,964, 696,872.56 and 290,171.44

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Solution

The fourth proportional to 504,964, 696,872.56 and 290,171.44 is: 400,449.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,964 : 696,872.56 = 290,171.44 : x
  2. Step 2: Convert to fraction form
    504,964/696,872.56 = 290,171.44/x
  3. Step 3: Cross multiply
    504,964x = 696,872.56 × 290,171.44
  4. Step 4: Simplify right side
    504,964x = 202,212,514,231.69
  5. Step 5: Solve for x
    x = 202,212,514,231.69/504,964
  6. Step 6: Final answer
    x = 400,449.37

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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.