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Finding the Fourth Proportional to 378,575.26, 567,301.90 and 153,662.02

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Solution

The fourth proportional to 378,575.26, 567,301.90 and 153,662.02 is: 230,265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,575.26 : 567,301.90 = 153,662.02 : x
  2. Step 2: Convert to fraction form
    378,575.26/567,301.90 = 153,662.02/x
  3. Step 3: Cross multiply
    378,575.26x = 567,301.90 × 153,662.02
  4. Step 4: Simplify right side
    378,575.26x = 87,172,755,903.84
  5. Step 5: Solve for x
    x = 87,172,755,903.84/378,575.26
  6. Step 6: Final answer
    x = 230,265.33

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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.