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Finding the Fourth Proportional to 357,777.16, 493,744.28 and 196,637.92

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Solution

The fourth proportional to 357,777.16, 493,744.28 and 196,637.92 is: 271,366.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,777.16 : 493,744.28 = 196,637.92 : x
  2. Step 2: Convert to fraction form
    357,777.16/493,744.28 = 196,637.92/x
  3. Step 3: Cross multiply
    357,777.16x = 493,744.28 × 196,637.92
  4. Step 4: Simplify right side
    357,777.16x = 97,088,848,231.10
  5. Step 5: Solve for x
    x = 97,088,848,231.10/357,777.16
  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.