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Finding the Fourth Proportional to 512,965.22, 707,892.71 and 295,169.58

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Solution

The fourth proportional to 512,965.22, 707,892.71 and 295,169.58 is: 407,334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,965.22 : 707,892.71 = 295,169.58 : x
  2. Step 2: Convert to fraction form
    512,965.22/707,892.71 = 295,169.58/x
  3. Step 3: Cross multiply
    512,965.22x = 707,892.71 × 295,169.58
  4. Step 4: Simplify right side
    512,965.22x = 208,948,392,419.91
  5. Step 5: Solve for x
    x = 208,948,392,419.91/512,965.22
  6. Step 6: Final answer
    x = 407,334.43

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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.