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Finding the Fourth Proportional to 409,984.60, 615,236.10 and 241,504.60

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Solution

The fourth proportional to 409,984.60, 615,236.10 and 241,504.60 is: 362,409.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,984.60 : 615,236.10 = 241,504.60 : x
  2. Step 2: Convert to fraction form
    409,984.60/615,236.10 = 241,504.60/x
  3. Step 3: Cross multiply
    409,984.60x = 615,236.10 × 241,504.60
  4. Step 4: Simplify right side
    409,984.60x = 148,582,348,236.06
  5. Step 5: Solve for x
    x = 148,582,348,236.06/409,984.60
  6. Step 6: Final answer
    x = 362,409.58

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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.