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Finding the Fourth Proportional to 650,774.82, 976,002.93 and 271,698.69

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Solution

The fourth proportional to 650,774.82, 976,002.93 and 271,698.69 is: 407,481.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,774.82 : 976,002.93 = 271,698.69 : x
  2. Step 2: Convert to fraction form
    650,774.82/976,002.93 = 271,698.69/x
  3. Step 3: Cross multiply
    650,774.82x = 976,002.93 × 271,698.69
  4. Step 4: Simplify right side
    650,774.82x = 265,178,717,517.16
  5. Step 5: Solve for x
    x = 265,178,717,517.16/650,774.82
  6. Step 6: Final answer
    x = 407,481.53

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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.