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Finding the Fourth Proportional to 224,297.65, 336,586.53 and 149,470.30

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Solution

The fourth proportional to 224,297.65, 336,586.53 and 149,470.30 is: 224,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,297.65 : 336,586.53 = 149,470.30 : x
  2. Step 2: Convert to fraction form
    224,297.65/336,586.53 = 149,470.30/x
  3. Step 3: Cross multiply
    224,297.65x = 336,586.53 × 149,470.30
  4. Step 4: Simplify right side
    224,297.65x = 50,309,688,282.62
  5. Step 5: Solve for x
    x = 50,309,688,282.62/224,297.65
  6. Step 6: Final answer
    x = 224,298.78

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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.