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Finding the Fourth Proportional to 320,235.26, 441,877.48 and 182,415.38

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Solution

The fourth proportional to 320,235.26, 441,877.48 and 182,415.38 is: 251,706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,235.26 : 441,877.48 = 182,415.38 : x
  2. Step 2: Convert to fraction form
    320,235.26/441,877.48 = 182,415.38/x
  3. Step 3: Cross multiply
    320,235.26x = 441,877.48 × 182,415.38
  4. Step 4: Simplify right side
    320,235.26x = 80,605,245,762.22
  5. Step 5: Solve for x
    x = 80,605,245,762.22/320,235.26
  6. Step 6: Final answer
    x = 251,706.35

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Why These Related Problems?

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