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Finding the Fourth Proportional to 275,533.24, 412,905.16 and 156,959.76

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Solution

The fourth proportional to 275,533.24, 412,905.16 and 156,959.76 is: 235,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,533.24 : 412,905.16 = 156,959.76 : x
  2. Step 2: Convert to fraction form
    275,533.24/412,905.16 = 156,959.76/x
  3. Step 3: Cross multiply
    275,533.24x = 412,905.16 × 156,959.76
  4. Step 4: Simplify right side
    275,533.24x = 64,809,494,816.36
  5. Step 5: Solve for x
    x = 64,809,494,816.36/275,533.24
  6. Step 6: Final answer
    x = 235,214.80

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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.