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Finding the Fourth Proportional to 831,633.12, 1,147,648.14 and 469,059.98

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Solution

The fourth proportional to 831,633.12, 1,147,648.14 and 469,059.98 is: 647,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,633.12 : 1,147,648.14 = 469,059.98 : x
  2. Step 2: Convert to fraction form
    831,633.12/1,147,648.14 = 469,059.98/x
  3. Step 3: Cross multiply
    831,633.12x = 1,147,648.14 × 469,059.98
  4. Step 4: Simplify right side
    831,633.12x = 538,315,807,857.20
  5. Step 5: Solve for x
    x = 538,315,807,857.20/831,633.12
  6. Step 6: Final answer
    x = 647,299.63

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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.