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Finding the Fourth Proportional to 360,687, 497,771.10 and 201,711

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Solution

The fourth proportional to 360,687, 497,771.10 and 201,711 is: 278,374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,687 : 497,771.10 = 201,711 : x
  2. Step 2: Convert to fraction form
    360,687/497,771.10 = 201,711/x
  3. Step 3: Cross multiply
    360,687x = 497,771.10 × 201,711
  4. Step 4: Simplify right side
    360,687x = 100,405,906,352.10
  5. Step 5: Solve for x
    x = 100,405,906,352.10/360,687
  6. Step 6: Final answer
    x = 278,374.06

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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.