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Finding the Fourth Proportional to 275,437.80, 412,368.30 and 169,543.80

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Solution

The fourth proportional to 275,437.80, 412,368.30 and 169,543.80 is: 253,830.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,437.80 : 412,368.30 = 169,543.80 : x
  2. Step 2: Convert to fraction form
    275,437.80/412,368.30 = 169,543.80/x
  3. Step 3: Cross multiply
    275,437.80x = 412,368.30 × 169,543.80
  4. Step 4: Simplify right side
    275,437.80x = 69,914,488,581.54
  5. Step 5: Solve for x
    x = 69,914,488,581.54/275,437.80
  6. Step 6: Final answer
    x = 253,830.41

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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.