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Finding the Fourth Proportional to 357,934.88, 493,951.12 and 196,806.40

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Solution

The fourth proportional to 357,934.88, 493,951.12 and 196,806.40 is: 271,593.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,934.88 : 493,951.12 = 196,806.40 : x
  2. Step 2: Convert to fraction form
    357,934.88/493,951.12 = 196,806.40/x
  3. Step 3: Cross multiply
    357,934.88x = 493,951.12 × 196,806.40
  4. Step 4: Simplify right side
    357,934.88x = 97,212,741,703.17
  5. Step 5: Solve for x
    x = 97,212,741,703.17/357,934.88
  6. Step 6: Final answer
    x = 271,593.37

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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.