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Finding the Fourth Proportional to 243,200.40, 364,217.40 and 196,544.40

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Solution

The fourth proportional to 243,200.40, 364,217.40 and 196,544.40 is: 294,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,200.40 : 364,217.40 = 196,544.40 : x
  2. Step 2: Convert to fraction form
    243,200.40/364,217.40 = 196,544.40/x
  3. Step 3: Cross multiply
    243,200.40x = 364,217.40 × 196,544.40
  4. Step 4: Simplify right side
    243,200.40x = 71,584,890,352.56
  5. Step 5: Solve for x
    x = 71,584,890,352.56/243,200.40
  6. Step 6: Final answer
    x = 294,345.28

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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.