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Finding the Fourth Proportional to 378,434.94, 567,513.90 and 125,669.58

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Solution

The fourth proportional to 378,434.94, 567,513.90 and 125,669.58 is: 188,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,434.94 : 567,513.90 = 125,669.58 : x
  2. Step 2: Convert to fraction form
    378,434.94/567,513.90 = 125,669.58/x
  3. Step 3: Cross multiply
    378,434.94x = 567,513.90 × 125,669.58
  4. Step 4: Simplify right side
    378,434.94x = 71,319,233,457.16
  5. Step 5: Solve for x
    x = 71,319,233,457.16/378,434.94
  6. Step 6: Final answer
    x = 188,458.37

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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.