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Finding the Fourth Proportional to 357,777.14, 493,744.30 and 196,637.90

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Solution

The fourth proportional to 357,777.14, 493,744.30 and 196,637.90 is: 271,366.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,777.14 : 493,744.30 = 196,637.90 : x
  2. Step 2: Convert to fraction form
    357,777.14/493,744.30 = 196,637.90/x
  3. Step 3: Cross multiply
    357,777.14x = 493,744.30 × 196,637.90
  4. Step 4: Simplify right side
    357,777.14x = 97,088,842,288.97
  5. Step 5: Solve for x
    x = 97,088,842,288.97/357,777.14
  6. Step 6: Final answer
    x = 271,366.81

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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.