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Finding the Fourth Proportional to 470,057.60, 648,679.92 and 255,197.54

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Solution

The fourth proportional to 470,057.60, 648,679.92 and 255,197.54 is: 352,172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,057.60 : 648,679.92 = 255,197.54 : x
  2. Step 2: Convert to fraction form
    470,057.60/648,679.92 = 255,197.54/x
  3. Step 3: Cross multiply
    470,057.60x = 648,679.92 × 255,197.54
  4. Step 4: Simplify right side
    470,057.60x = 165,541,519,831.40
  5. Step 5: Solve for x
    x = 165,541,519,831.40/470,057.60
  6. Step 6: Final answer
    x = 352,172.84

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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.