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Finding the Fourth Proportional to 378,453.40, 567,583.32 and 112,151.76

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Solution

The fourth proportional to 378,453.40, 567,583.32 and 112,151.76 is: 168,198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,453.40 : 567,583.32 = 112,151.76 : x
  2. Step 2: Convert to fraction form
    378,453.40/567,583.32 = 112,151.76/x
  3. Step 3: Cross multiply
    378,453.40x = 567,583.32 × 112,151.76
  4. Step 4: Simplify right side
    378,453.40x = 63,655,468,284.64
  5. Step 5: Solve for x
    x = 63,655,468,284.64/378,453.40
  6. Step 6: Final answer
    x = 168,198.96

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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.