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Finding the Fourth Proportional to 809,553, 1,214,387.82 and 310,917

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Solution

The fourth proportional to 809,553, 1,214,387.82 and 310,917 is: 466,397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,553 : 1,214,387.82 = 310,917 : x
  2. Step 2: Convert to fraction form
    809,553/1,214,387.82 = 310,917/x
  3. Step 3: Cross multiply
    809,553x = 1,214,387.82 × 310,917
  4. Step 4: Simplify right side
    809,553x = 377,573,817,830.94
  5. Step 5: Solve for x
    x = 377,573,817,830.94/809,553
  6. Step 6: Final answer
    x = 466,397.90

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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.