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Finding the Fourth Proportional to 470,381.44, 649,131 and 255,523.24

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Solution

The fourth proportional to 470,381.44, 649,131 and 255,523.24 is: 352,624.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,381.44 : 649,131 = 255,523.24 : x
  2. Step 2: Convert to fraction form
    470,381.44/649,131 = 255,523.24/x
  3. Step 3: Cross multiply
    470,381.44x = 649,131 × 255,523.24
  4. Step 4: Simplify right side
    470,381.44x = 165,868,056,304.44
  5. Step 5: Solve for x
    x = 165,868,056,304.44/470,381.44
  6. Step 6: Final answer
    x = 352,624.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.