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Finding the Fourth Proportional to 831,712.40, 1,247,568.60 and 411,808.40

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Solution

The fourth proportional to 831,712.40, 1,247,568.60 and 411,808.40 is: 617,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,712.40 : 1,247,568.60 = 411,808.40 : x
  2. Step 2: Convert to fraction form
    831,712.40/1,247,568.60 = 411,808.40/x
  3. Step 3: Cross multiply
    831,712.40x = 1,247,568.60 × 411,808.40
  4. Step 4: Simplify right side
    831,712.40x = 513,759,229,056.24
  5. Step 5: Solve for x
    x = 513,759,229,056.24/831,712.40
  6. Step 6: Final answer
    x = 617,712.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.