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Finding the Fourth Proportional to 461,996.60, 693,254.10 and 195,711.80

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Solution

The fourth proportional to 461,996.60, 693,254.10 and 195,711.80 is: 293,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,996.60 : 693,254.10 = 195,711.80 : x
  2. Step 2: Convert to fraction form
    461,996.60/693,254.10 = 195,711.80/x
  3. Step 3: Cross multiply
    461,996.60x = 693,254.10 × 195,711.80
  4. Step 4: Simplify right side
    461,996.60x = 135,678,007,768.38
  5. Step 5: Solve for x
    x = 135,678,007,768.38/461,996.60
  6. Step 6: Final answer
    x = 293,677.50

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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.