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Finding the Fourth Proportional to 650,261.79, 975,672.86 and 271,257.17

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Solution

The fourth proportional to 650,261.79, 975,672.86 and 271,257.17 is: 407,002.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,261.79 : 975,672.86 = 271,257.17 : x
  2. Step 2: Convert to fraction form
    650,261.79/975,672.86 = 271,257.17/x
  3. Step 3: Cross multiply
    650,261.79x = 975,672.86 × 271,257.17
  4. Step 4: Simplify right side
    650,261.79x = 264,658,252,614.76
  5. Step 5: Solve for x
    x = 264,658,252,614.76/650,261.79
  6. Step 6: Final answer
    x = 407,002.62

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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.