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Finding the Fourth Proportional to 501,261.24, 691,676.52 and 286,415.22

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Solution

The fourth proportional to 501,261.24, 691,676.52 and 286,415.22 is: 395,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,261.24 : 691,676.52 = 286,415.22 : x
  2. Step 2: Convert to fraction form
    501,261.24/691,676.52 = 286,415.22/x
  3. Step 3: Cross multiply
    501,261.24x = 691,676.52 × 286,415.22
  4. Step 4: Simplify right side
    501,261.24x = 198,106,682,644.63
  5. Step 5: Solve for x
    x = 198,106,682,644.63/501,261.24
  6. Step 6: Final answer
    x = 395,216.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.