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Finding the Fourth Proportional to 357,956.10, 493,972.56 and 196,809.57

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Solution

The fourth proportional to 357,956.10, 493,972.56 and 196,809.57 is: 271,593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,956.10 : 493,972.56 = 196,809.57 : x
  2. Step 2: Convert to fraction form
    357,956.10/493,972.56 = 196,809.57/x
  3. Step 3: Cross multiply
    357,956.10x = 493,972.56 × 196,809.57
  4. Step 4: Simplify right side
    357,956.10x = 97,218,527,125.40
  5. Step 5: Solve for x
    x = 97,218,527,125.40/357,956.10
  6. Step 6: Final answer
    x = 271,593.44

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1.5x scale

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.