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Finding the Fourth Proportional to 650,924.86, 976,543.17 and 271,634.60

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Solution

The fourth proportional to 650,924.86, 976,543.17 and 271,634.60 is: 407,516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,924.86 : 976,543.17 = 271,634.60 : x
  2. Step 2: Convert to fraction form
    650,924.86/976,543.17 = 271,634.60/x
  3. Step 3: Cross multiply
    650,924.86x = 976,543.17 × 271,634.60
  4. Step 4: Simplify right side
    650,924.86x = 265,262,913,365.68
  5. Step 5: Solve for x
    x = 265,262,913,365.68/650,924.86
  6. Step 6: Final answer
    x = 407,516.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.