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Finding the Fourth Proportional to 357,713.62, 493,638.71 and 196,568.47

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Solution

The fourth proportional to 357,713.62, 493,638.71 and 196,568.47 is: 271,261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,713.62 : 493,638.71 = 196,568.47 : x
  2. Step 2: Convert to fraction form
    357,713.62/493,638.71 = 196,568.47/x
  3. Step 3: Cross multiply
    357,713.62x = 493,638.71 × 196,568.47
  4. Step 4: Simplify right side
    357,713.62x = 97,033,805,591.68
  5. Step 5: Solve for x
    x = 97,033,805,591.68/357,713.62
  6. Step 6: Final answer
    x = 271,261.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.