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Finding the Fourth Proportional to 378,334.40, 567,512.09 and 94,013.46

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Solution

The fourth proportional to 378,334.40, 567,512.09 and 94,013.46 is: 141,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,334.40 : 567,512.09 = 94,013.46 : x
  2. Step 2: Convert to fraction form
    378,334.40/567,512.09 = 94,013.46/x
  3. Step 3: Cross multiply
    378,334.40x = 567,512.09 × 94,013.46
  4. Step 4: Simplify right side
    378,334.40x = 53,353,775,055.21
  5. Step 5: Solve for x
    x = 53,353,775,055.21/378,334.40
  6. Step 6: Final answer
    x = 141,022.80

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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.