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Finding the Fourth Proportional to 274,374.68, 411,294.31 and 114,496.67

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Solution

The fourth proportional to 274,374.68, 411,294.31 and 114,496.67 is: 171,633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,374.68 : 411,294.31 = 114,496.67 : x
  2. Step 2: Convert to fraction form
    274,374.68/411,294.31 = 114,496.67/x
  3. Step 3: Cross multiply
    274,374.68x = 411,294.31 × 114,496.67
  4. Step 4: Simplify right side
    274,374.68x = 47,091,829,626.94
  5. Step 5: Solve for x
    x = 47,091,829,626.94/274,374.68
  6. Step 6: Final answer
    x = 171,633.30

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Why These Related Problems?

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