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Finding the Fourth Proportional to 516,197.31, 712,466.11 and 286,833.39

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Solution

The fourth proportional to 516,197.31, 712,466.11 and 286,833.39 is: 395,893.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,197.31 : 712,466.11 = 286,833.39 : x
  2. Step 2: Convert to fraction form
    516,197.31/712,466.11 = 286,833.39/x
  3. Step 3: Cross multiply
    516,197.31x = 712,466.11 × 286,833.39
  4. Step 4: Simplify right side
    516,197.31x = 204,359,069,591.41
  5. Step 5: Solve for x
    x = 204,359,069,591.41/516,197.31
  6. Step 6: Final answer
    x = 395,893.33

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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.