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Finding the Fourth Proportional to 415,090.40, 622,635.60 and 362,602.40

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Solution

The fourth proportional to 415,090.40, 622,635.60 and 362,602.40 is: 543,903.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,090.40 : 622,635.60 = 362,602.40 : x
  2. Step 2: Convert to fraction form
    415,090.40/622,635.60 = 362,602.40/x
  3. Step 3: Cross multiply
    415,090.40x = 622,635.60 × 362,602.40
  4. Step 4: Simplify right side
    415,090.40x = 225,769,162,885.44
  5. Step 5: Solve for x
    x = 225,769,162,885.44/415,090.40
  6. Step 6: Final answer
    x = 543,903.60

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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.