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Finding the Fourth Proportional to 512,592.44, 707,374.73 and 283,165.47

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Solution

The fourth proportional to 512,592.44, 707,374.73 and 283,165.47 is: 390,766.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,592.44 : 707,374.73 = 283,165.47 : x
  2. Step 2: Convert to fraction form
    512,592.44/707,374.73 = 283,165.47/x
  3. Step 3: Cross multiply
    512,592.44x = 707,374.73 × 283,165.47
  4. Step 4: Simplify right side
    512,592.44x = 200,304,098,594.49
  5. Step 5: Solve for x
    x = 200,304,098,594.49/512,592.44
  6. Step 6: Final answer
    x = 390,766.79

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1.5x scale

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.