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Finding the Fourth Proportional to 378,284.52, 567,509.84 and 112,065.88

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Solution

The fourth proportional to 378,284.52, 567,509.84 and 112,065.88 is: 168,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,284.52 : 567,509.84 = 112,065.88 : x
  2. Step 2: Convert to fraction form
    378,284.52/567,509.84 = 112,065.88/x
  3. Step 3: Cross multiply
    378,284.52x = 567,509.84 × 112,065.88
  4. Step 4: Simplify right side
    378,284.52x = 63,598,489,628.26
  5. Step 5: Solve for x
    x = 63,598,489,628.26/378,284.52
  6. Step 6: Final answer
    x = 168,123.43

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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.