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Finding the Fourth Proportional to 357,905.73, 493,903.35 and 196,759.32

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Solution

The fourth proportional to 357,905.73, 493,903.35 and 196,759.32 is: 271,524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,905.73 : 493,903.35 = 196,759.32 : x
  2. Step 2: Convert to fraction form
    357,905.73/493,903.35 = 196,759.32/x
  3. Step 3: Cross multiply
    357,905.73x = 493,903.35 × 196,759.32
  4. Step 4: Simplify right side
    357,905.73x = 97,180,087,291.72
  5. Step 5: Solve for x
    x = 97,180,087,291.72/357,905.73
  6. Step 6: Final answer
    x = 271,524.26

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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.