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Finding the Fourth Proportional to 357,482.10, 493,333.92 and 196,340.70

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Solution

The fourth proportional to 357,482.10, 493,333.92 and 196,340.70 is: 270,954.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,482.10 : 493,333.92 = 196,340.70 : x
  2. Step 2: Convert to fraction form
    357,482.10/493,333.92 = 196,340.70/x
  3. Step 3: Cross multiply
    357,482.10x = 493,333.92 × 196,340.70
  4. Step 4: Simplify right side
    357,482.10x = 96,861,527,186.54
  5. Step 5: Solve for x
    x = 96,861,527,186.54/357,482.10
  6. Step 6: Final answer
    x = 270,954.90

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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.