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Finding the Fourth Proportional to 470,773.86, 649,672.16 and 255,914.34

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Solution

The fourth proportional to 470,773.86, 649,672.16 and 255,914.34 is: 353,164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,773.86 : 649,672.16 = 255,914.34 : x
  2. Step 2: Convert to fraction form
    470,773.86/649,672.16 = 255,914.34/x
  3. Step 3: Cross multiply
    470,773.86x = 649,672.16 × 255,914.34
  4. Step 4: Simplify right side
    470,773.86x = 166,260,420,763.20
  5. Step 5: Solve for x
    x = 166,260,420,763.20/470,773.86
  6. Step 6: Final answer
    x = 353,164.09

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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.