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Finding the Fourth Proportional to 330,468.50, 456,046.54 and 196,332.50

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Solution

The fourth proportional to 330,468.50, 456,046.54 and 196,332.50 is: 270,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,468.50 : 456,046.54 = 196,332.50 : x
  2. Step 2: Convert to fraction form
    330,468.50/456,046.54 = 196,332.50/x
  3. Step 3: Cross multiply
    330,468.50x = 456,046.54 × 196,332.50
  4. Step 4: Simplify right side
    330,468.50x = 89,536,757,314.55
  5. Step 5: Solve for x
    x = 89,536,757,314.55/330,468.50
  6. Step 6: Final answer
    x = 270,938.86

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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.