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Finding the Fourth Proportional to 274,173.66, 410,123.25 and 257,377.50

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Solution

The fourth proportional to 274,173.66, 410,123.25 and 257,377.50 is: 384,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,173.66 : 410,123.25 = 257,377.50 : x
  2. Step 2: Convert to fraction form
    274,173.66/410,123.25 = 257,377.50/x
  3. Step 3: Cross multiply
    274,173.66x = 410,123.25 × 257,377.50
  4. Step 4: Simplify right side
    274,173.66x = 105,556,496,776.88
  5. Step 5: Solve for x
    x = 105,556,496,776.88/274,173.66
  6. Step 6: Final answer
    x = 384,998.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.