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Finding the Fourth Proportional to 470,404.73, 649,164.05 and 255,548.18

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Solution

The fourth proportional to 470,404.73, 649,164.05 and 255,548.18 is: 352,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,404.73 : 649,164.05 = 255,548.18 : x
  2. Step 2: Convert to fraction form
    470,404.73/649,164.05 = 255,548.18/x
  3. Step 3: Cross multiply
    470,404.73x = 649,164.05 × 255,548.18
  4. Step 4: Simplify right side
    470,404.73x = 165,892,686,975.37
  5. Step 5: Solve for x
    x = 165,892,686,975.37/470,404.73
  6. Step 6: Final answer
    x = 352,659.48

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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.