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Finding the Fourth Proportional to 409,712.40, 614,568.60 and 222,627.60

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Solution

The fourth proportional to 409,712.40, 614,568.60 and 222,627.60 is: 333,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,712.40 : 614,568.60 = 222,627.60 : x
  2. Step 2: Convert to fraction form
    409,712.40/614,568.60 = 222,627.60/x
  3. Step 3: Cross multiply
    409,712.40x = 614,568.60 × 222,627.60
  4. Step 4: Simplify right side
    409,712.40x = 136,819,932,453.36
  5. Step 5: Solve for x
    x = 136,819,932,453.36/409,712.40
  6. Step 6: Final answer
    x = 333,941.40

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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.