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Finding the Fourth Proportional to 831,233.76, 1,147,079.64 and 468,654.45

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Solution

The fourth proportional to 831,233.76, 1,147,079.64 and 468,654.45 is: 646,730.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,233.76 : 1,147,079.64 = 468,654.45 : x
  2. Step 2: Convert to fraction form
    831,233.76/1,147,079.64 = 468,654.45/x
  3. Step 3: Cross multiply
    831,233.76x = 1,147,079.64 × 468,654.45
  4. Step 4: Simplify right side
    831,233.76x = 537,583,977,790.40
  5. Step 5: Solve for x
    x = 537,583,977,790.40/831,233.76
  6. Step 6: Final answer
    x = 646,730.20

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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.