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Finding the Fourth Proportional to 512,731.21, 707,576.48 and 283,293.77

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Solution

The fourth proportional to 512,731.21, 707,576.48 and 283,293.77 is: 390,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,731.21 : 707,576.48 = 283,293.77 : x
  2. Step 2: Convert to fraction form
    512,731.21/707,576.48 = 283,293.77/x
  3. Step 3: Cross multiply
    512,731.21x = 707,576.48 × 283,293.77
  4. Step 4: Simplify right side
    512,731.21x = 200,452,011,059.71
  5. Step 5: Solve for x
    x = 200,452,011,059.71/512,731.21
  6. Step 6: Final answer
    x = 390,949.50

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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.