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Finding the Fourth Proportional to 470,584.70, 649,406.39 and 255,724.30

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Solution

The fourth proportional to 470,584.70, 649,406.39 and 255,724.30 is: 352,899.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,584.70 : 649,406.39 = 255,724.30 : x
  2. Step 2: Convert to fraction form
    470,584.70/649,406.39 = 255,724.30/x
  3. Step 3: Cross multiply
    470,584.70x = 649,406.39 × 255,724.30
  4. Step 4: Simplify right side
    470,584.70x = 166,068,991,596.14
  5. Step 5: Solve for x
    x = 166,068,991,596.14/470,584.70
  6. Step 6: Final answer
    x = 352,899.26

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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.