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Finding the Fourth Proportional to 274,463.65, 411,695.94 and 180,288.70

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Solution

The fourth proportional to 274,463.65, 411,695.94 and 180,288.70 is: 270,433.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,463.65 : 411,695.94 = 180,288.70 : x
  2. Step 2: Convert to fraction form
    274,463.65/411,695.94 = 180,288.70/x
  3. Step 3: Cross multiply
    274,463.65x = 411,695.94 × 180,288.70
  4. Step 4: Simplify right side
    274,463.65x = 74,224,125,817.88
  5. Step 5: Solve for x
    x = 74,224,125,817.88/274,463.65
  6. Step 6: Final answer
    x = 270,433.36

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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.