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Finding the Fourth Proportional to 470,541.38, 649,351.20 and 255,681.44

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Solution

The fourth proportional to 470,541.38, 649,351.20 and 255,681.44 is: 352,842.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,541.38 : 649,351.20 = 255,681.44 : x
  2. Step 2: Convert to fraction form
    470,541.38/649,351.20 = 255,681.44/x
  3. Step 3: Cross multiply
    470,541.38x = 649,351.20 × 255,681.44
  4. Step 4: Simplify right side
    470,541.38x = 166,027,046,634.97
  5. Step 5: Solve for x
    x = 166,027,046,634.97/470,541.38
  6. Step 6: Final answer
    x = 352,842.61

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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.