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Finding the Fourth Proportional to 319,647.67, 441,100.89 and 176,405.85

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Solution

The fourth proportional to 319,647.67, 441,100.89 and 176,405.85 is: 243,432.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,647.67 : 441,100.89 = 176,405.85 : x
  2. Step 2: Convert to fraction form
    319,647.67/441,100.89 = 176,405.85/x
  3. Step 3: Cross multiply
    319,647.67x = 441,100.89 × 176,405.85
  4. Step 4: Simplify right side
    319,647.67x = 77,812,777,436.21
  5. Step 5: Solve for x
    x = 77,812,777,436.21/319,647.67
  6. Step 6: Final answer
    x = 243,432.96

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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.