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Finding the Fourth Proportional to 357,314.47, 493,094.82 and 196,179.90

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Solution

The fourth proportional to 357,314.47, 493,094.82 and 196,179.90 is: 270,728.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,314.47 : 493,094.82 = 196,179.90 : x
  2. Step 2: Convert to fraction form
    357,314.47/493,094.82 = 196,179.90/x
  3. Step 3: Cross multiply
    357,314.47x = 493,094.82 × 196,179.90
  4. Step 4: Simplify right side
    357,314.47x = 96,735,292,478.12
  5. Step 5: Solve for x
    x = 96,735,292,478.12/357,314.47
  6. Step 6: Final answer
    x = 270,728.73

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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.