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Finding the Fourth Proportional to 357,902.73, 493,899.21 and 196,756.32

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Solution

The fourth proportional to 357,902.73, 493,899.21 and 196,756.32 is: 271,520.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,902.73 : 493,899.21 = 196,756.32 : x
  2. Step 2: Convert to fraction form
    357,902.73/493,899.21 = 196,756.32/x
  3. Step 3: Cross multiply
    357,902.73x = 493,899.21 × 196,756.32
  4. Step 4: Simplify right side
    357,902.73x = 97,177,791,010.51
  5. Step 5: Solve for x
    x = 97,177,791,010.51/357,902.73
  6. Step 6: Final answer
    x = 271,520.12

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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.