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Finding the Fourth Proportional to 836,000.10, 1,253,605.14 and 323,905.14

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Solution

The fourth proportional to 836,000.10, 1,253,605.14 and 323,905.14 is: 485,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,000.10 : 1,253,605.14 = 323,905.14 : x
  2. Step 2: Convert to fraction form
    836,000.10/1,253,605.14 = 323,905.14/x
  3. Step 3: Cross multiply
    836,000.10x = 1,253,605.14 × 323,905.14
  4. Step 4: Simplify right side
    836,000.10x = 406,049,148,376.42
  5. Step 5: Solve for x
    x = 406,049,148,376.42/836,000.10
  6. Step 6: Final answer
    x = 485,704.66

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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.