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Finding the Fourth Proportional to 831,714.68, 1,147,773.12 and 459,189.60

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Solution

The fourth proportional to 831,714.68, 1,147,773.12 and 459,189.60 is: 633,685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,714.68 : 1,147,773.12 = 459,189.60 : x
  2. Step 2: Convert to fraction form
    831,714.68/1,147,773.12 = 459,189.60/x
  3. Step 3: Cross multiply
    831,714.68x = 1,147,773.12 × 459,189.60
  4. Step 4: Simplify right side
    831,714.68x = 527,045,477,567.60
  5. Step 5: Solve for x
    x = 527,045,477,567.60/831,714.68
  6. Step 6: Final answer
    x = 633,685.44

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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.