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Finding the Fourth Proportional to 357,142.62, 492,841.32 and 196,000.38

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Solution

The fourth proportional to 357,142.62, 492,841.32 and 196,000.38 is: 270,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,142.62 : 492,841.32 = 196,000.38 : x
  2. Step 2: Convert to fraction form
    357,142.62/492,841.32 = 196,000.38/x
  3. Step 3: Cross multiply
    357,142.62x = 492,841.32 × 196,000.38
  4. Step 4: Simplify right side
    357,142.62x = 96,597,085,999.70
  5. Step 5: Solve for x
    x = 96,597,085,999.70/357,142.62
  6. Step 6: Final answer
    x = 270,472.02

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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.