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Finding the Fourth Proportional to 827,141.60, 1,241,878.80 and 512,213.60

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Solution

The fourth proportional to 827,141.60, 1,241,878.80 and 512,213.60 is: 769,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,141.60 : 1,241,878.80 = 512,213.60 : x
  2. Step 2: Convert to fraction form
    827,141.60/1,241,878.80 = 512,213.60/x
  3. Step 3: Cross multiply
    827,141.60x = 1,241,878.80 × 512,213.60
  4. Step 4: Simplify right side
    827,141.60x = 636,107,210,911.68
  5. Step 5: Solve for x
    x = 636,107,210,911.68/827,141.60
  6. Step 6: Final answer
    x = 769,042.70

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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.