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Finding the Fourth Proportional to 432,854.20, 648,843.90 and 196,366.60

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Solution

The fourth proportional to 432,854.20, 648,843.90 and 196,366.60 is: 294,351.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,854.20 : 648,843.90 = 196,366.60 : x
  2. Step 2: Convert to fraction form
    432,854.20/648,843.90 = 196,366.60/x
  3. Step 3: Cross multiply
    432,854.20x = 648,843.90 × 196,366.60
  4. Step 4: Simplify right side
    432,854.20x = 127,411,270,573.74
  5. Step 5: Solve for x
    x = 127,411,270,573.74/432,854.20
  6. Step 6: Final answer
    x = 294,351.47

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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.