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Finding the Fourth Proportional to 415,101.60, 622,652.40 and 205,149.60

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Solution

The fourth proportional to 415,101.60, 622,652.40 and 205,149.60 is: 307,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,101.60 : 622,652.40 = 205,149.60 : x
  2. Step 2: Convert to fraction form
    415,101.60/622,652.40 = 205,149.60/x
  3. Step 3: Cross multiply
    415,101.60x = 622,652.40 × 205,149.60
  4. Step 4: Simplify right side
    415,101.60x = 127,736,890,799.04
  5. Step 5: Solve for x
    x = 127,736,890,799.04/415,101.60
  6. Step 6: Final answer
    x = 307,724.40

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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.