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Finding the Fourth Proportional to 647,533.60, 971,329.20 and 221,063.20

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Solution

The fourth proportional to 647,533.60, 971,329.20 and 221,063.20 is: 331,604.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,533.60 : 971,329.20 = 221,063.20 : x
  2. Step 2: Convert to fraction form
    647,533.60/971,329.20 = 221,063.20/x
  3. Step 3: Cross multiply
    647,533.60x = 971,329.20 × 221,063.20
  4. Step 4: Simplify right side
    647,533.60x = 214,725,141,205.44
  5. Step 5: Solve for x
    x = 214,725,141,205.44/647,533.60
  6. Step 6: Final answer
    x = 331,604.63

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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.