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Finding the Fourth Proportional to 647,029.60, 970,573.20 and 220,559.20

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Solution

The fourth proportional to 647,029.60, 970,573.20 and 220,559.20 is: 330,848.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,029.60 : 970,573.20 = 220,559.20 : x
  2. Step 2: Convert to fraction form
    647,029.60/970,573.20 = 220,559.20/x
  3. Step 3: Cross multiply
    647,029.60x = 970,573.20 × 220,559.20
  4. Step 4: Simplify right side
    647,029.60x = 214,068,848,533.44
  5. Step 5: Solve for x
    x = 214,068,848,533.44/647,029.60
  6. Step 6: Final answer
    x = 330,848.62

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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.