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Finding the Fourth Proportional to 378,023.20, 567,034.81 and 378,023.20

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Solution

The fourth proportional to 378,023.20, 567,034.81 and 378,023.20 is: 567,034.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,023.20 : 567,034.81 = 378,023.20 : x
  2. Step 2: Convert to fraction form
    378,023.20/567,034.81 = 378,023.20/x
  3. Step 3: Cross multiply
    378,023.20x = 567,034.81 × 378,023.20
  4. Step 4: Simplify right side
    378,023.20x = 214,352,312,442.53
  5. Step 5: Solve for x
    x = 214,352,312,442.53/378,023.20
  6. Step 6: Final answer
    x = 567,034.81

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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.