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Finding the Fourth Proportional to 470,404.97, 649,164.39 and 255,548.42

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Solution

The fourth proportional to 470,404.97, 649,164.39 and 255,548.42 is: 352,659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,404.97 : 649,164.39 = 255,548.42 : x
  2. Step 2: Convert to fraction form
    470,404.97/649,164.39 = 255,548.42/x
  3. Step 3: Cross multiply
    470,404.97x = 649,164.39 × 255,548.42
  4. Step 4: Simplify right side
    470,404.97x = 165,892,935,807.68
  5. Step 5: Solve for x
    x = 165,892,935,807.68/470,404.97
  6. Step 6: Final answer
    x = 352,659.83

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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.