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Finding the Fourth Proportional to 831,798.21, 1,147,894.64 and 469,229.15

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Solution

The fourth proportional to 831,798.21, 1,147,894.64 and 469,229.15 is: 647,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,798.21 : 1,147,894.64 = 469,229.15 : x
  2. Step 2: Convert to fraction form
    831,798.21/1,147,894.64 = 469,229.15/x
  3. Step 3: Cross multiply
    831,798.21x = 1,147,894.64 × 469,229.15
  4. Step 4: Simplify right side
    831,798.21x = 538,625,628,499.96
  5. Step 5: Solve for x
    x = 538,625,628,499.96/831,798.21
  6. Step 6: Final answer
    x = 647,543.62

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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.