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Finding the Fourth Proportional to 547,652.70, 821,416.76 and 148,324.60

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Solution

The fourth proportional to 547,652.70, 821,416.76 and 148,324.60 is: 222,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,652.70 : 821,416.76 = 148,324.60 : x
  2. Step 2: Convert to fraction form
    547,652.70/821,416.76 = 148,324.60/x
  3. Step 3: Cross multiply
    547,652.70x = 821,416.76 × 148,324.60
  4. Step 4: Simplify right side
    547,652.70x = 121,836,312,360.30
  5. Step 5: Solve for x
    x = 121,836,312,360.30/547,652.70
  6. Step 6: Final answer
    x = 222,470.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.