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Finding the Fourth Proportional to 343,876.80, 515,815.20 and 196,420.80

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Solution

The fourth proportional to 343,876.80, 515,815.20 and 196,420.80 is: 294,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,876.80 : 515,815.20 = 196,420.80 : x
  2. Step 2: Convert to fraction form
    343,876.80/515,815.20 = 196,420.80/x
  3. Step 3: Cross multiply
    343,876.80x = 515,815.20 × 196,420.80
  4. Step 4: Simplify right side
    343,876.80x = 101,316,834,236.16
  5. Step 5: Solve for x
    x = 101,316,834,236.16/343,876.80
  6. Step 6: Final answer
    x = 294,631.20

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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.