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Finding the Fourth Proportional to 308,543.40, 463,592.70 and 196,277.40

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Solution

The fourth proportional to 308,543.40, 463,592.70 and 196,277.40 is: 294,910.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,543.40 : 463,592.70 = 196,277.40 : x
  2. Step 2: Convert to fraction form
    308,543.40/463,592.70 = 196,277.40/x
  3. Step 3: Cross multiply
    308,543.40x = 463,592.70 × 196,277.40
  4. Step 4: Simplify right side
    308,543.40x = 90,992,769,814.98
  5. Step 5: Solve for x
    x = 90,992,769,814.98/308,543.40
  6. Step 6: Final answer
    x = 294,910.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.