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Finding the Fourth Proportional to 378,206.70, 566,544.60 and 235,614.30

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Solution

The fourth proportional to 378,206.70, 566,544.60 and 235,614.30 is: 352,944.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,206.70 : 566,544.60 = 235,614.30 : x
  2. Step 2: Convert to fraction form
    378,206.70/566,544.60 = 235,614.30/x
  3. Step 3: Cross multiply
    378,206.70x = 566,544.60 × 235,614.30
  4. Step 4: Simplify right side
    378,206.70x = 133,486,009,347.78
  5. Step 5: Solve for x
    x = 133,486,009,347.78/378,206.70
  6. Step 6: Final answer
    x = 352,944.59

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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.