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Finding the Fourth Proportional to 274,464.65, 411,697.44 and 180,289.70

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Solution

The fourth proportional to 274,464.65, 411,697.44 and 180,289.70 is: 270,434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,464.65 : 411,697.44 = 180,289.70 : x
  2. Step 2: Convert to fraction form
    274,464.65/411,697.44 = 180,289.70/x
  3. Step 3: Cross multiply
    274,464.65x = 411,697.44 × 180,289.70
  4. Step 4: Simplify right side
    274,464.65x = 74,224,807,948.37
  5. Step 5: Solve for x
    x = 74,224,807,948.37/274,464.65
  6. Step 6: Final answer
    x = 270,434.86

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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.