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Finding the Fourth Proportional to 512,594.31, 707,377.32 and 283,167.35

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Solution

The fourth proportional to 512,594.31, 707,377.32 and 283,167.35 is: 390,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,594.31 : 707,377.32 = 283,167.35 : x
  2. Step 2: Convert to fraction form
    512,594.31/707,377.32 = 283,167.35/x
  3. Step 3: Cross multiply
    512,594.31x = 707,377.32 × 283,167.35
  4. Step 4: Simplify right side
    512,594.31x = 200,306,157,617.62
  5. Step 5: Solve for x
    x = 200,306,157,617.62/512,594.31
  6. Step 6: Final answer
    x = 390,769.37

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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.