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Finding the Fourth Proportional to 378,763.26, 568,047.06 and 112,463.52

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Solution

The fourth proportional to 378,763.26, 568,047.06 and 112,463.52 is: 168,666.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,763.26 : 568,047.06 = 112,463.52 : x
  2. Step 2: Convert to fraction form
    378,763.26/568,047.06 = 112,463.52/x
  3. Step 3: Cross multiply
    378,763.26x = 568,047.06 × 112,463.52
  4. Step 4: Simplify right side
    378,763.26x = 63,884,571,893.25
  5. Step 5: Solve for x
    x = 63,884,571,893.25/378,763.26
  6. Step 6: Final answer
    x = 168,666.23

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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.