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Finding the Fourth Proportional to 319,692.59, 441,144.33 and 176,443.41

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Solution

The fourth proportional to 319,692.59, 441,144.33 and 176,443.41 is: 243,474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,692.59 : 441,144.33 = 176,443.41 : x
  2. Step 2: Convert to fraction form
    319,692.59/441,144.33 = 176,443.41/x
  3. Step 3: Cross multiply
    319,692.59x = 441,144.33 × 176,443.41
  4. Step 4: Simplify right side
    319,692.59x = 77,837,010,879.99
  5. Step 5: Solve for x
    x = 77,837,010,879.99/319,692.59
  6. Step 6: Final answer
    x = 243,474.56

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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.