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Finding the Fourth Proportional to 512,539.44, 707,243.76 and 283,083.09

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Solution

The fourth proportional to 512,539.44, 707,243.76 and 283,083.09 is: 390,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,539.44 : 707,243.76 = 283,083.09 : x
  2. Step 2: Convert to fraction form
    512,539.44/707,243.76 = 283,083.09/x
  3. Step 3: Cross multiply
    512,539.44x = 707,243.76 × 283,083.09
  4. Step 4: Simplify right side
    512,539.44x = 200,208,748,964.02
  5. Step 5: Solve for x
    x = 200,208,748,964.02/512,539.44
  6. Step 6: Final answer
    x = 390,621.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.