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Finding the Fourth Proportional to 378,077.40, 567,772.20 and 200,930.40

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Solution

The fourth proportional to 378,077.40, 567,772.20 and 200,930.40 is: 301,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,077.40 : 567,772.20 = 200,930.40 : x
  2. Step 2: Convert to fraction form
    378,077.40/567,772.20 = 200,930.40/x
  3. Step 3: Cross multiply
    378,077.40x = 567,772.20 × 200,930.40
  4. Step 4: Simplify right side
    378,077.40x = 114,082,695,254.88
  5. Step 5: Solve for x
    x = 114,082,695,254.88/378,077.40
  6. Step 6: Final answer
    x = 301,744.29

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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.