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Finding the Fourth Proportional to 642,954.80, 964,067.70 and 243,608.60

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Solution

The fourth proportional to 642,954.80, 964,067.70 and 243,608.60 is: 365,274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,954.80 : 964,067.70 = 243,608.60 : x
  2. Step 2: Convert to fraction form
    642,954.80/964,067.70 = 243,608.60/x
  3. Step 3: Cross multiply
    642,954.80x = 964,067.70 × 243,608.60
  4. Step 4: Simplify right side
    642,954.80x = 234,855,182,702.22
  5. Step 5: Solve for x
    x = 234,855,182,702.22/642,954.80
  6. Step 6: Final answer
    x = 365,274.79

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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.