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Finding the Fourth Proportional to 415,199.20, 622,766.40 and 162,430.60

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Solution

The fourth proportional to 415,199.20, 622,766.40 and 162,430.60 is: 243,633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,199.20 : 622,766.40 = 162,430.60 : x
  2. Step 2: Convert to fraction form
    415,199.20/622,766.40 = 162,430.60/x
  3. Step 3: Cross multiply
    415,199.20x = 622,766.40 × 162,430.60
  4. Step 4: Simplify right side
    415,199.20x = 101,156,320,011.84
  5. Step 5: Solve for x
    x = 101,156,320,011.84/415,199.20
  6. Step 6: Final answer
    x = 243,633.22

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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.