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Finding the Fourth Proportional to 275,636.80, 413,455.20 and 213,428.80

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Solution

The fourth proportional to 275,636.80, 413,455.20 and 213,428.80 is: 320,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,636.80 : 413,455.20 = 213,428.80 : x
  2. Step 2: Convert to fraction form
    275,636.80/413,455.20 = 213,428.80/x
  3. Step 3: Cross multiply
    275,636.80x = 413,455.20 × 213,428.80
  4. Step 4: Simplify right side
    275,636.80x = 88,243,247,189.76
  5. Step 5: Solve for x
    x = 88,243,247,189.76/275,636.80
  6. Step 6: Final answer
    x = 320,143.20

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1.5x scale

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.