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Finding the Fourth Proportional to 470,812.25, 649,693.32 and 255,950.43

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Solution

The fourth proportional to 470,812.25, 649,693.32 and 255,950.43 is: 353,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,812.25 : 649,693.32 = 255,950.43 : x
  2. Step 2: Convert to fraction form
    470,812.25/649,693.32 = 255,950.43/x
  3. Step 3: Cross multiply
    470,812.25x = 649,693.32 × 255,950.43
  4. Step 4: Simplify right side
    470,812.25x = 166,289,284,622.13
  5. Step 5: Solve for x
    x = 166,289,284,622.13/470,812.25
  6. Step 6: Final answer
    x = 353,196.60

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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.