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Finding the Fourth Proportional to 375,546.78, 563,408.80 and 122,826.31

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Solution

The fourth proportional to 375,546.78, 563,408.80 and 122,826.31 is: 184,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,546.78 : 563,408.80 = 122,826.31 : x
  2. Step 2: Convert to fraction form
    375,546.78/563,408.80 = 122,826.31/x
  3. Step 3: Cross multiply
    375,546.78x = 563,408.80 × 122,826.31
  4. Step 4: Simplify right side
    375,546.78x = 69,201,422,209.94
  5. Step 5: Solve for x
    x = 69,201,422,209.94/375,546.78
  6. Step 6: Final answer
    x = 184,268.45

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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.