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Finding the Fourth Proportional to 470,490.38, 649,282.62 and 255,634.04

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Solution

The fourth proportional to 470,490.38, 649,282.62 and 255,634.04 is: 352,778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,490.38 : 649,282.62 = 255,634.04 : x
  2. Step 2: Convert to fraction form
    470,490.38/649,282.62 = 255,634.04/x
  3. Step 3: Cross multiply
    470,490.38x = 649,282.62 × 255,634.04
  4. Step 4: Simplify right side
    470,490.38x = 165,978,736,005.97
  5. Step 5: Solve for x
    x = 165,978,736,005.97/470,490.38
  6. Step 6: Final answer
    x = 352,778.18

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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.