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Finding the Fourth Proportional to 470,774.02, 649,672.33 and 255,914.43

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Solution

The fourth proportional to 470,774.02, 649,672.33 and 255,914.43 is: 353,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,774.02 : 649,672.33 = 255,914.43 : x
  2. Step 2: Convert to fraction form
    470,774.02/649,672.33 = 255,914.43/x
  3. Step 3: Cross multiply
    470,774.02x = 649,672.33 × 255,914.43
  4. Step 4: Simplify right side
    470,774.02x = 166,260,524,018.72
  5. Step 5: Solve for x
    x = 166,260,524,018.72/470,774.02
  6. Step 6: Final answer
    x = 353,164.19

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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.