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Finding the Fourth Proportional to 378,411.47, 567,619.46 and 112,174.26

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Solution

The fourth proportional to 378,411.47, 567,619.46 and 112,174.26 is: 168,262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,411.47 : 567,619.46 = 112,174.26 : x
  2. Step 2: Convert to fraction form
    378,411.47/567,619.46 = 112,174.26/x
  3. Step 3: Cross multiply
    378,411.47x = 567,619.46 × 112,174.26
  4. Step 4: Simplify right side
    378,411.47x = 63,672,292,887.10
  5. Step 5: Solve for x
    x = 63,672,292,887.10/378,411.47
  6. Step 6: Final answer
    x = 168,262.06

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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.