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Finding the Fourth Proportional to 357,641.95, 493,546.53 and 196,495.60

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Solution

The fourth proportional to 357,641.95, 493,546.53 and 196,495.60 is: 271,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,641.95 : 493,546.53 = 196,495.60 : x
  2. Step 2: Convert to fraction form
    357,641.95/493,546.53 = 196,495.60/x
  3. Step 3: Cross multiply
    357,641.95x = 493,546.53 × 196,495.60
  4. Step 4: Simplify right side
    357,641.95x = 96,979,721,540.27
  5. Step 5: Solve for x
    x = 96,979,721,540.27/357,641.95
  6. Step 6: Final answer
    x = 271,164.28

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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.