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Finding the Fourth Proportional to 357,528.97, 493,398.50 and 196,387.39

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Solution

The fourth proportional to 357,528.97, 493,398.50 and 196,387.39 is: 271,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,528.97 : 493,398.50 = 196,387.39 : x
  2. Step 2: Convert to fraction form
    357,528.97/493,398.50 = 196,387.39/x
  3. Step 3: Cross multiply
    357,528.97x = 493,398.50 × 196,387.39
  4. Step 4: Simplify right side
    357,528.97x = 96,897,245,219.75
  5. Step 5: Solve for x
    x = 96,897,245,219.75/357,528.97
  6. Step 6: Final answer
    x = 271,019.28

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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.