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Finding the Fourth Proportional to 415,059.20, 622,358.40 and 165,459.20

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Solution

The fourth proportional to 415,059.20, 622,358.40 and 165,459.20 is: 248,096.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,059.20 : 622,358.40 = 165,459.20 : x
  2. Step 2: Convert to fraction form
    415,059.20/622,358.40 = 165,459.20/x
  3. Step 3: Cross multiply
    415,059.20x = 622,358.40 × 165,459.20
  4. Step 4: Simplify right side
    415,059.20x = 102,974,922,977.28
  5. Step 5: Solve for x
    x = 102,974,922,977.28/415,059.20
  6. Step 6: Final answer
    x = 248,096.95

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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.